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

Tutors Answer Your Questions about Inequalities (FREE)

Question 107459: Solve the inequality. Graph your solution.
2y+7>11
Click here to see answer by MathLover1(20849)

Question 107459: Solve the inequality. Graph your solution.
2y+7>11
Click here to see answer by jim_thompson5910(35256)

Question 107442: Determine the half-plane 3x - 4y < 12

3(1) - 4(1) < 12
3 - 4 < 12
-1 < 12 true
Making sure I'm doing these right.
Click here to see answer by stanbon(75887)

Question 107441: I have to graph the following inequality 4x + y > 4
4(0) + 0 > 4
0 > 4

Am I doing this right or am I missing something?
Click here to see answer by stanbon(75887)

Question 107402: I need help with this equation Solve the compound inequality. Then graph the solution
8x 11 < 5 or 4x - 7 > 13
Click here to see answer by jim_thompson5910(35256)

Question 107469: I am having problems absolute value solving inequalities. I have two problems. I think I solved them, but I am not 100% sure.
|5x+6|>26
x| x<-4 or x>4
the second problem is:
|2x-4| =16
x= -6 and 10
Click here to see answer by jim_thompson5910(35256)

Question 107440: Determine the correct half-plane in each case y>3

y>3
0>3 false statement

Am I on the right track doing this problem or are there more steps?
Click here to see answer by jim_thompson5910(35256)

Question 107491: Draw a rough sketch of the following function. Use basic shapes and shifting.
f(x)= -x^2+9
Click here to see answer by checkley71(8403)

Question 107731: I have $30 in my drawer consisting of dimes and quarters. Write an inequality that shows the different number of coins in my drawer.
.25x + .10y < $30

Is that all that is needed for a question like that?
Click here to see answer by stanbon(75887)

Question 107735: Word problem
If an inventor charges $4 per unit, the profit for producing and selling x units is given by the function p(x) = 2.25x - 7000
a. What is her profit if she sells 2000 units?

p(2000)= 2.25(2000) - 7000
p(2000) = 4500 - 7000
p(2000)= -2500

Am I on the right track for this type of problem?
Click here to see answer by stanbon(75887)

Question 107793: solve the compound inequality. other than 0 use interval notation to express the solution set and graph the solution set on a number line.
-17\< -3x+4\<-8
Click here to see answer by jim_thompson5910(35256)

Question 107791: Solve the compound inequality. Other than 0 use interval notation to express the solution set and graph the solution set on a number line.
-35\<-5x-5<-15
Click here to see answer by jim_thompson5910(35256)

Question 107779: An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 89, 73, and 76 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the course.

Click here to see answer by bucky(2189)

Question 107976: 4/3r-3 < r-2/3-1/3r
Click here to see answer by jim_thompson5910(35256)

Question 108029: i need help with inequaliti -6<2t-5<(with little line in the bottom)-3
Click here to see answer by edjones(8007)

Question 108126: please help me solve this equation x+3_>4 and -4x<20
Click here to see answer by Fombitz(32388)

Question 108174: How do I solve:
3x+9-5x

Click here to see answer by edjones(8007)

Question 108182: Which number does not make the number sentence 26 + y> 30 true?
A. 10 B. 4 c. 7 d. 100
Click here to see answer by elima(1433)

Question 108223: -8w < 24
Click here to see answer by BurningFlame_marc(77)

Question 108206: Graph each inequalities
y<1/2x+2
x-3y<9
Click here to see answer by elima(1433)

Question 108590: Please solve this inequality
2(3-2m)is greater than or equal to 8m+3
Thank you
Click here to see answer by checkley71(8403)

Question 108620: ): HI!
please help me with this..........
length , area
10 , 10
9 , 18
8 , 24
7 , 28
6 , 30
5 , 30
4 , 28
3 , 24
2 , 18
1 , 10
graph this and explain whether we can connect or not connect points
ps.
i think the equation is
L^2+11 and if i am wrong please correct me

Click here to see answer by Fombitz(32388)

Question 108941: the opposite of g is at least -5
Click here to see answer by Fombitz(32388)

Question 108964: Copy and complete the sataement using <,> or =
3^7 x 3^4 ____ 3^10
Any help with this equation would be greatly appreciated
Click here to see answer by stanbon(75887)

Question 108965: Copy and complete the sataement using <,> or =
A square has a side length of 2x^4 centimeters. Represent the area of the square using exponents.
Any help with this equation would be greatly appreciated
Click here to see answer by stanbon(75887)

Question 108963: Copy and complete the sataement using <,> or =
34. 8^8 ___ 8^6 x 8
Any help with this equation would be greatly appreciated
Click here to see answer by stanbon(75887)

Question 108980: I am to Solve this inequality...the actual answer is (-9/5, 1)
(didnt know how to make vertical lines but the 5k+2 has vertical lines on each side)

What I got so far
5k+2 -3 <=4
7k-3<=4
4k-3<=4-3
4k<=1
I was thinking next to take each side divide by 4 but it wasnt working out
Can you please help me find out where I went wrong.
Thank you so much :)
Click here to see answer by jim_thompson5910(35256)

Question 108994: I could totall be overthinking this because I tend to do so, but can you please tell me if I am correct or understand the following.
Trying to solve the inequality the absoulute value of b < = 8.
I belive the answer is [-8,8] becuase obvisouly the 8 would be equal to the 8 but from every example i have seen like this the same # is always used as a negitive and I dont understand why (in this case the -8).
Is this always the case or is there something I am missing or overthinking?
Thank you kindly for your help :0)
Click here to see answer by jim_thompson5910(35256)

Question 109120: I need help solving rational inequalities. I have to solve 4x/x+1 < -3x/x-6 algebraically using a number line and test points. I have to determine when f(x)=4x/x+1 is less than g(x)= -3x/x-6.
I have tried to answer the question but my answer doesn't make any sense to me because I can't tell when f(x) is less than g(x) from when I solved the inequalitie algebraically using the method my teacher taught me.
Click here to see answer by stanbon(75887)

Question 109164: Please help me---I am not sure how to setup this problem in order to solve it.
Problem: Find the greatest possible pair of numbers such that one integer is 5 more than twice the other and the sum is less than 30.
Click here to see answer by ankor@dixie-net.com(22740)

Question 109381: 1) You are collecting sponsers for a 10-mile walk-a-thon. So far, you have collected $230.00 in donations. How much must the last sponsor pledge per mile to reach or exceed the goal of $300.00?
2) You are biking at a rate of 30 miles per hour. You have already biked 20 miles. How many more hours must you bike to surpass your goal of 50 miles?
Click here to see answer by stanbon(75887)

Question 109379: Describe the solutions of ax^2-bx+c=0 if b^2-4ac<0? You have to describe how many roots there are. thanks!
Click here to see answer by jim_thompson5910(35256)

Question 109534: hi,
two factors of x^3-3x^2-4x+12 are x+2 and x-3. find the remaining factor. thank you
Click here to see answer by edjones(8007)

Question 109655: please let me know if I setup this problem correctly.
The sum of three consecutive even integers is less than or equal to 126. Find the greatest values of the integers.
X+y+z_<126. Answer-- X<40, y<42, z<44

Click here to see answer by checkley71(8403)

Question 109752: Last question: The sum of the solutions to is 10/7, 0, -10/7, or 5/7? please help on this last question!! thank you. =)
Click here to see answer by stanbon(75887)

Question 109749: Two factors of are and . Find the remaining factor. My answer was x+3 but i am not so sure, can you please help and explain the problem to me? thank you.
Click here to see answer by scott8148(6628)

Question 110149: If x=5 in the expression 5x+2y=7 what the value of y?
Click here to see answer by elima(1433)

Question 110555: 5x<35
Click here to see answer by checkley71(8403)

Question 110620: Please Help me with this question?
"The exact average of a set of six test scores is 92. Five of these scores are 93, 95, 96, and 88. What is the other test score?"
Click here to see answer by josmiceli(19441)

Question 110621: Please Help me with this one to,
"Which Inequality is true? - If x=3.04/1.48, y=1.99 to .33, and 2=(1,3)^3
Click here to see answer by stanbon(75887)

Question 110806: could you help define this equation
two-thirds of a number x decreased by nine
Click here to see answer by Earlsdon(6294)

Question 110805: Could you help me define/show how to solve:
A toll way machine contains $2100 worth of quarters, dimes, and nickels. There are nine times as many dimes as quarters and five times as many nickels as quarters Determine the number of quarters, nickels, and dimes in the collection. Represent with only one variable.
Click here to see answer by MathLover1(20849)

Question 110832: How do I graph the inequality: x <= 5
Click here to see answer by jim_thompson5910(35256)

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