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

Algebra ->  Inequalities -> Questions on Algebra: Inequalities, trichotomy answered by real tutors!      Log On


   



Tutors Answer Your Questions about Inequalities (FREE)


Question 92662:
Click here to see answer by FadelSalem(12) About Me 

Question 92717: Question: Solve: |x-2|<1
How do i solve this?

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

Question 92720: Question: Use inequality notation to describe the set: All x in the interval
(-2, 4)
what does that mean?

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

Question 92733: Solve the inequality: 6x%5E2%2B5x%3C4
Here's what i did: 6x%5E2%2B5x%3C4
6x%5E2%2B5x-4%3C0
%282x-1%29%283x%2B4%29%3C0 Now what?

Click here to see answer by bucky(2189) About Me 

Question 92804: Solve the following by factoring and making appropriate sign charts:
x%5E3%2B4x%5E2-x%3E=4
I'm not sure how to go about factoring this or what the appropriate sign charts are. If you could please show me the steps to this problem...I would appreciate it. Thank you! :)

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

Question 92932: For the following equation, find the interval(s) where f%28x%29%3C0.
f%28x%29=1%2F%28x%5E2-2x-8%29

Click here to see answer by Edwin McCravy(20054) About Me 

Question 92978: solve the following system of linear inequalities by graphing.
x-3y > 6
3x + 2y > 12

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

Question 92977: solve the following system of linear inequalities by graphing.
x-y less than/= 3
x+2y less than/= 6

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

Question 92719: Question: Solve: 6x%5E2%2B5x%3C4
How do i solve this? Do i need a chart?

Click here to see answer by scott8148(6628) About Me 

Question 92973: Please help! Solve each compound inequality. State the solution set using interval notation and graph it.
-1/2x <6 or 2/3x< 4

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

Question 93053: I have the following word problem and I don't know where to biggin answering it.
For 1980 through 1998, the population (in thousands) of Hawaii can be modeled by 13.2t+ 965 where t is the number of years since 1980. What was the population of Hawaii in 1998? What was the population increase from 1980 to 1998? I believe i am to make an equation such as: 13.2(14)+965 btu i don't know where to go from there.

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

Question 93069: hi i have faced problems in GRE like this(this is only example to explian to you)
there were seperate questions for pirme,even and odd
the questions were like which of the following is not (prime,even,odd)
2*(x-2)
(x-4)+y
(x+4)*3
like these please can you tell me from where i can get these types of questions for study please help tell me any website
thanks
waiting for response
zamansoomro@yahoo.com

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

Question 93099: Solve the inequality and draw a number line graph f the solution.
-7 is less than -2a + 5 is less than or equal to 1.
Thanks so much!!

Click here to see answer by tutorcecilia(2152) About Me 

Question 93106: Solve the inequality algebraically. Write the solution in interval notation.
|2 - 3x| - 5 is less than 1
I solved it to get the answers x is greater than -4/3 and x is less than -2/3 but I don't know what interval notation is or if the answers are correct. Thanks so much!!

Click here to see answer by tutorcecilia(2152) About Me 

Question 93082: Graph each system of inequalities:
3x-2y>6 and x+y<4 on one graph

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

Question 93145: Good Evening Tutor,
I have a question. I have to graph f(x) = 3x + 2. I got (0,2) (1,5) & (2,8) is this correct? I am not sure I did this problem correctly so I just wanted to check. Thank you for your help.

Click here to see answer by mathispowerful(115) About Me 

Question 93171: Sorry Tutor this is not from a book. I am having difficulties with this problems could you please explain?
Solve the following system of linear inequalities by graphing.
3x + 4y <= 12
x + 3y <= 6
x >= 0
y >= 0
I do not think I am doing this problem correctly anyone that can help would be most appreciated.

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

Question 93160: 1) Describe the three possible relationships for two straight lines in the same plane.
2) What is the solution to a system of two equations represented by two parallel lines in the same plane?

3) Describe the steps needed to determine the graph for the solutions to a linear inequality in two variables. What points in the coordinate plane (shaded area) will be selected and why?
4) In a Linear Programming problem you need to maximize a function that contains two variables (such as a and b). Explain what is meant by the constraints for this problem.

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

Question 93146: I asked another question and forgot to ask this one...Oops sorry.
Graph the inequality y >= -4 Do I graph with a dotted or dashed line because it is true or do I use a solid line. I used the dashed line but am afraid that is wrong. Thanks for your help.

Click here to see answer by tutorcecilia(2152) About Me 

Question 91610: 8 - 3w is less than or equal to 14
Click here to see answer by HayleyAlyce(8) About Me 

Question 93203: Solve and graph the solution set.
x + 11 > –5

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

Question 91648: 2(x + 3) – 4 = 12 + (x - 3)
Click here to see answer by HayleyAlyce(8) About Me 

Question 93537: How do I solve and graph this problem?
-6(2x - 10) + 12x is less than or equal to 180

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

Question 93536: solve and graph the solution:
2(m-3) + 7 < 21

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

Question 93529: How do you work these problems? I have no Idea where to start! Help!
Solve and graph the solution:
-12 is greater than or equal to 24x

Click here to see answer by bucky(2189) About Me 
Question 93529: How do you work these problems? I have no Idea where to start! Help!
Solve and graph the solution:
-12 is greater than or equal to 24x

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

Question 93532: solve and graph the solution:
57 -4t is greater than or equal to 13

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

Question 93860: Good Evening Tutors,
I was wondering if you could show me how to graph this inequality.
y >= 3x
I got 1 > 3 (false) so I shaded below the line not including the 1 but I am not sure I have this correct. Any help would be greatly accepted.
Thank you.

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

Question 94232: 2(x - 4) + 7 < 5 - x
Click here to see answer by stanbon(75887) About Me 

Question 94443: Solve and graph. -6(2x - 10) + 12x (less than or equal to) 180

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

Question 94408: sally bought three chocolate bars and a pack of gum and paid 41.75. jAKE BOUGHT TWO chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum. BRAIN FRIED
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 94536: I'm not sure how to type the symbol for less than/or equal to, so I'm going to just use this <=
hope that isn't too confusing!
Solve the inequality: 3<=2-x<5

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

Question 94857: I need help, PLEASE~~
t/3-t+7<-4t/3+8

that is supposed to be is less then or equal, too, i think i didnt know how to put the line under it!

Click here to see answer by scott8148(6628) About Me 

Question 94925: Word Problems with Inequalities:
Betty earns a salary of $14,000 per year plus and 8% commission on all her sales. How much must her sales be if her annual income is to be no less than $15,600?

Click here to see answer by edjones(8007) About Me 

Question 95158: There are 88 keys on a new piano. If there are 12 pianos in a room of broken pianos, some of which may have missing keys, how many piano keys could be on the pianos? Write and solve an inequality to answer the question.
The answer my daughter had was k<_88, but she had it wrong. What did she do wrong?

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

Question 88556: 4+2x>12
Click here to see answer by checkley71(8403) About Me 

Question 95133: I am very sorry this is not from a text book. I am working on compound inequalities: 3y+5>_2y+1>y-1
(that's the best I could come up with for 'greater than or equal to')
I subtracted the 1 in the middle from both sides and got
3y+4>_2y>y-2
Then I subtracted the y on the right side from both sides and got
2y+4>_y>-2
And now I am stuck, it is my understanding that the variable must be isolated in between the inequality signs, but I don't know how to do that from here. Please help me.

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

Question 95341: 5/8,4/7
write an inequatlity to cmpare theses 2 numbers.explain how you got your answer

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

Question 95343: x is greater than 6 and less than or equal to 12. I know how to graph the equation, but how is it "solved" as requested in the question?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 95369: what is another solution to 144 besides 12 squared
Click here to see answer by Edwin McCravy(20054) About Me 

Question 95366: what is another solution to 144 besides 12 squared
Click here to see answer by edjones(8007) About Me 

Question 95424: I need help with: -3/4M >_ M or -3/4 < M+2
( negative three fourths M is greater than or equal to M, or, negative three fourths is less than M plus two)

Click here to see answer by shannon23554(1) About Me 

Question 87380: solve and graph the function
f(x)=-2x-5

Click here to see answer by kiljoy(51) About Me 

Question 95568: Hello out there,I need some help with some tough problems,the first one is,Solve the inequality:18<6y-12(for that,I got two different answers,y>150and y>1).The next one is,Solve the inequality:2b-12>13.The third one is,Solve the inequality:3h+6<33.And the last one is,Solve the inequality:-1/4v>12.Thanks for whoever can help.
Click here to see answer by ankor@dixie-net.com(22740) 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