Questions on Algebra: Inequalities, trichotomy answered by real tutors!

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Question 173405: A car traveled 715 km in 2 hours. What was it's average speed?
Click here to see answer by firegirl2010(1) About Me 

Question 173419: solve for x: 2x to the 2nd power minus 3x minus 1=0
Click here to see answer by checkley77(12844) About Me 

Question 173536: 8m-3m=-40
Click here to see answer by Alan3354(69443) About Me 

Question 173632: Please help me solve this problem:
Luis told his sister Rosi "If you can guess the amount of money in my piggy bank, you can have it. The bank contains only dimes and quarters. There are no more than 8 quarters and no more than 4 dimes. I have at least ten coins in all." Write a system of inequalitites for this situation.

Click here to see answer by gonzo(654) About Me 

Question 173724: Hi,
I nedd to write an inquality to represent the following condition.
A landscaper architect wants her project to use at most 110 gallons of water per day.Each shrub requires 1 gallon of water and each tree requires 3 gallons of water per day. Let x=number of shrubs, and y=number of trees. Write an inequality that says that the plants chosen will not meet the landscapers water limit.
My answer is: x+3y<=110
Can someone let me know if this is the correct answer.
Thanks
freedom45

Click here to see answer by Mathtut(3670) About Me 

Question 173731: Is this true for all real numbers x: +x%5E2%2B1%3E=+2x+
Click here to see answer by Mathtut(3670) About Me 
Question 173731: Is this true for all real numbers x: +x%5E2%2B1%3E=+2x+
Click here to see answer by solver91311(24713) About Me 

Question 173723: y+over+-4=-8++++is+it+-4+times+-8+=+32%3F
Click here to see answer by Mathtut(3670) About Me 

Question 173735: Please help me solve this:
Graph the following system of inequalities on the graph, find the corner points, and label on the graph.
x+y>=14
2x+y>=20
x+3y>=24
x>=0
y>=0
I'm having trouble graphing on this site.my answer was:
(0,8) (10,0)
Thanks
freedom45

Click here to see answer by stanbon(75887) About Me 

Question 173776: Is this equation true for all real numbers x: +x%5E2%3E=+x+
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Question 173777: what is the answer using the elimination/addition method to:
2w+3z=17
3w+4z=24

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Question 173908: How do you know if a value is a solution for an inequality?
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Question 173915: what is the slope of a line parallel to 8x-3y=23
Click here to see answer by solver91311(24713) About Me 

Question 174135: 1. You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project.
a) Write an inequality that demonstrates how much money you will be willing to spend on the project.

b) Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.
c) Would 5 trees be a solution to the inequality in part b? Justify your answer.

Click here to see answer by Mathtut(3670) About Me 

Question 174159: I am trying to help my son with his algebra and am unable to figure out how to work the inequalities. I am actually having problems with all equations with fractions. Could you please help? When I type in the inequality all I get is unable to solve???
-n/3>_-3????

Click here to see answer by jim_thompson5910(35256) About Me 

Question 174314: 3(W + 7) < W – 3 or 4W > W – 6
Click here to see answer by jim_thompson5910(35256) About Me 

Question 174414: Graph the inequality
y>=x^2-8
y

Click here to see answer by Mathtut(3670) About Me 

Question 174544: p+(-8)<(and equal to) -12

This problem is from the glencoe pre-algebra practice workbook. Isbn: 0-07-827789-2

Click here to see answer by rapaljer(4671) About Me 

Question 174519: y=(-4x)+6
2y=(-8x)-8

Click here to see answer by midwood_trail(310) About Me 

Question 174571: x^2 + y^2 <= 1
(x-1)^2 + y^2 <= 1
Is it possible to find x and y?

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 174571: x^2 + y^2 <= 1
(x-1)^2 + y^2 <= 1
Is it possible to find x and y?

Click here to see answer by Fombitz(32388) About Me 

Question 174653: Jerry's grandmother gave him a $125 gift card to Tower Records for his birthday. This week Tower Records is having a sale on current release cd's for $12. The Regular cost of CD'S is $15.
A. If x reresents the number of sale priced CD's and y represents the number of regularly priced CD's, write an inequality that represents the different number of CD's he can purchase with his gift card.
B. Find 3 possible an realistic solutions. Support your answers algebraically.

Click here to see answer by josmiceli(19441) About Me 
Question 174653: Jerry's grandmother gave him a $125 gift card to Tower Records for his birthday. This week Tower Records is having a sale on current release cd's for $12. The Regular cost of CD'S is $15.
A. If x reresents the number of sale priced CD's and y represents the number of regularly priced CD's, write an inequality that represents the different number of CD's he can purchase with his gift card.
B. Find 3 possible an realistic solutions. Support your answers algebraically.

Click here to see answer by Mathtut(3670) About Me 

Question 173248: Hi,
I need help graphing the inequality.
I have to do the following: Graph the following system of inequalities, find the corner points, and label on the graph:
x+y>=14
2x+y>=20
x+3y>=24
x>=0
y>=0
Thank you in advance for your help.
Freedom45

Click here to see answer by nycsub_teacher(90) About Me 

Question 174708: i need help with these to know if they are true and false please explain
|x|>x |x|>0 |x+1|>0
- -

Click here to see answer by josmiceli(19441) About Me 

Question 171602: graph compound inequalities.
p<-8andp>4

Click here to see answer by rapaljer(4671) About Me 

Question 174783: 2/3x+8>12
What i did was:
2/3x+8-8>12-8 = 2/3x>4
2/3-2/3x > 4/1*3/2
= x>6
this is my answer that i got. x>6

Click here to see answer by actuary(112) About Me 

Question 174989: the inequality x^2-2x<8 is equivalent to what?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 175100: -4-5v<-29
Click here to see answer by checkley75(3666) About Me 

Question 175271: hi. i need a answer for a couple inequalities. the directions are, solve each inequality. then graph the solution set. the inequalities are, 3<2x-3<15 and 4<2y-2<10
Click here to see answer by jim_thompson5910(35256) About Me 

Question 175331: I am trying to find the minimum for f(x)=5x^2-20x+3. i think to find the min. you do -b/2a. In which case i did (-)-20/2(5) and got 2. My teacher said that this answer was incorrect. If you could please tell me where i went wrong it would be much appreciated. thanks!
Click here to see answer by KnightOwlTutor(293) About Me 

Question 175328: I confused trying to solve 2x^2-5x-3>=0. i think you begin by adding 3 to both sides but then having the exponet is throwing me off. i dont know what to do after that. If you could please explain it would be much appreciated. thanks!
Click here to see answer by ptaylor(2198) About Me 

Question 175463: Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500? Write an inequality that illustrates the problem and solver. Express your answer as an inequality and explain how you arrived at your answer.
Click here to see answer by Mathtut(3670) About Me 
Question 175463: Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500? Write an inequality that illustrates the problem and solver. Express your answer as an inequality and explain how you arrived at your answer.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 175332: I have to solve by graphing. I have attempted this problem but i am not certian that i did it correctly. It is 2x-3y>=-3 and 3y>-2x-6. the point of intersection i came up with was around (-2.5, .5). If this is incorrect could you please explain why and the correct way to do it? thanks!
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 175469: explain the difference in the meaning of 4a and a to the 4th power..
and
explain the difference in the meaning of -4b and b to the -4th power
thank you

Click here to see answer by Alan3354(69443) About Me 

Question 175550: A number is less than the sum of twice its opposite and five.

Click here to see answer by Mathtut(3670) About Me 

Question 175631: Which Quandrant
Y>-3
Y<-|x+2|

Click here to see answer by stanbon(75887) About Me 

Question 175633: I am not understanding exactly how to do this problem. My answer comes up entirely different from the given answer in the book. I need to know the steps in solving this Inequality.
Compound Inequality. Give the solution set in both interval and graph form.
x+2 > 7 or 1-x > 6
I come up with this solution:
x+2 > 7 or 1-x > 6
-2 > -2 or -1 -1
x> 5 or x > 5

The book says the union is ( -infinity,-5) U (5,infinity)
I came up with two positives. I can not figure out what am I doing wrong in this Inequality, please help.
Your help is gracefully appreciated.
Thank you!
Lauren

Click here to see answer by stanbon(75887) About Me 

Question 175501: A French horn student has a range of no more than 17 notes from the middle C. let x=0 correspond to middle C. Write an absolute value inequality that shows the range of notes the student is able to play.
Click here to see answer by gonzo(654) About Me 

Question 175699: How do I find the possible values for s in the inequality 12s-20<50-3s-25?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 175711: In woodshop class, you must cut a piece of wood within 3/16 inch of the teacher's specification of 5 1/8 inches. Write an absolute value inequality that describes the acceptable lengths for this piece of wood. Solve the inequality.
Click here to see answer by stanbon(75887) About Me 

Question 175503: A tool and die shop makes a metal pull tab for a pop can. The length of the tab is 1.2 inches. The measurement may have an error of as much as 0.002 inches. Write an absolute value inequality that shows the range of the possible lengths of the tabs. Solve the inequality.
Click here to see answer by stanbon(75887) About Me 

Question 175504: The highest elevation in North America is 20,320 feet above sea level at mount McKinley. The lowest elevation is 282 feet below sea level in Death valley. Find an absolute value equation that has the highest and lowest elevations in North America as its solution.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 175708: The attendence at home basketball games has ranged between 820 and 1540 spectators. Write an absolute value inequality descibing the possible attendance at home basketball games.
Click here to see answer by stanbon(75887) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205