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

Tutors Answer Your Questions about Inequalities (FREE)

Question 72103: Solve this inequality: x/4 < -5 Note there is a line under the greater than sign
Click here to see answer by rmromero(383)

Question 72102: Solve this inequality: x + 8 > 20 Note there is a line under the greater than sign
Click here to see answer by rmromero(383)

Question 72101: Solve this equality: 5(x + 12) > 3x + 94 Note there is a line under the greater than sign
Click here to see answer by rmromero(383)

Question 72100: Solve this equalty: x - 7 < 16
Click here to see answer by rmromero(383)

Question 72107: Solve this inequalty: y < 3x -4 Note there is a line under the less than sign
Click here to see answer by checkley75(3666)

Question 72106: Solve this inequalty:3x - 2y > -12
Click here to see answer by Earlsdon(6294)

Question 72105: Solve this inequalty: 2x + 5y < 20
Click here to see answer by elima(1433)

Question 72189: You have a total or 21 coins, all nickels and dimes. the total value is $1.70. Write and solve a system of equations to find the number of dimes d and the number of nickles n that you have.
Click here to see answer by checkley75(3666)

Question 72393: Please help me understand how to work this problem, I believe the answer is
(0,1,3,4,7,8,9,11} but I'm not sure why! Thanks!
Let A = {0,3,4,7,8} and B = {1,3,7,9,11}. Find A union B
Click here to see answer by pradhyumna.kumar@gmail.com(62)

Question 72399: Please help....thanks!
Solve: X is greater than or equal to 10 or X is less than or equal to 10.
Is this the answer? (-infinity,10) union (10, infinity)....Please explain, I think I understand a little, but not quite sure.
Click here to see answer by stanbon(75887)

Question 72558: Can someone please solve this problem and find the solution set on the graph.
-8z is less than or equal 24 and 7 + z < 9???
Click here to see answer by checkley75(3666)

Question 72623: 2-(2/3-X)+1/6=-x+5/9 We are supposed to find the solution. Please help me with the steps. There are several more problems like this on my work.
Click here to see answer by stanbon(75887)

Question 72716: I saw this question asked but it was incorrectly written.
Solve the inequality 21/15-3x <0 and express the solution as an interval. Could be written: 21 divided by 15-3x <0
Click here to see answer by Nate(3500)

Question 72723: Latisha has 78 soccer cards in her cellection. She wants to give n cards to each of her 3 bestfriends, and she wants to have at least 40 cards left. Write an inequality Latisha could solve to find n.
Click here to see answer by stanbon(75887)

Question 72765: [5x+2]=3 Okay the paratheses should be just straight lines. I have done some of the example problems in my book but come out way wrong. Can someone please tell step by step how to do these? I don't think I will ever take another online class again. Thanks
Click here to see answer by ptaylor(2198)

Question 72792: Translate the following statement into an algebraic equaion. Let x represent the number.
10 less than 12 times a number is 6 times that same number.
I put 12x-10=6x.
Is this right?
Click here to see answer by Earlsdon(6294)

Question 72908: -4<-3x-13<26
Click here to see answer by jim_thompson5910(35256)

Question 72905: -4<-3x-13<26
Click here to see answer by bucky(2189)

Question 73255: Please solve and show solution set. thanks
{3x+2}+4 is less than or equal to 15
Click here to see answer by rahman(247)

Question 73252: Can someone please help me solve and graph? Thanks!
{x+2} = 3 the parenthesis is absolute value. I believe the answer is -5,1. But, I'm not sure how to show the work out.
Click here to see answer by bucky(2189)

Question 73254: Please solve this inequality and absolute value problem and show solution set? Thanks
{x+2}-3>2
Click here to see answer by funmath(2933)

Question 73631: Please show the steps needed to solve this system of linear equation
2(y-3)=x+3y
x+2=3-y
thanks
Click here to see answer by bucky(2189)

Question 73886: j-7<24
Click here to see answer by checkley75(3666)

Question 73884: -2n<10
Click here to see answer by checkley75(3666)

Question 73883: a/3>4

Click here to see answer by checkley75(3666)

Question 73885:
Click here to see answer by stanbon(75887)

Question 73885:
Click here to see answer by Edwin McCravy(20054)

Question 73580: -solve the inequality.write a sentence that describes the solution.-3x-7is greater than or equal to8 or -2x-11 is less than or equal to-31
Click here to see answer by tazoftroy(22)

Question 73520: I solved this, but am not sure if I'm correct (the zero is making me think there's a trick):
1/6-1/3t>0
Here's what I came up with:
0/6-1/6+2/6 making t=1/6 which would be greater than 0. The interval notation would be: (0,1/6) and so on the graph, I would have two parentheses (one at zero, one at approximately 1/6). Did I do this correctly? Thank you for your assistance.
Click here to see answer by tazoftroy(22)

Question 73994: what is the formula of the inequlity i do not get how to do it
Click here to see answer by jim_thompson5910(35256)

Question 74027: how do i do this problem 2y-12>negative 32
Click here to see answer by stanbon(75887)

Question 74217: I am trying to explain to my son how to solve inequalities when the variable is in the demoninator. An example would be:
1
____ < 12
3x
I tell him the answer is x = 1/36. Can you explain the steps so he can understand? Thank you.

Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 74216: I am trying to explain to my son how to solve inequalities when the variable is in the numerator. An example would be:
1
____ < 12
3x
I tell him the answer is x = 1/36. Can you explain the steps so he can understand? Thank you.

Thank you.
Click here to see answer by checkley75(3666)

Question 74345: Could you please help me solve this inequality.
I have tried this:

???????
Thank you so much
A
Click here to see answer by jim_thompson5910(35256)

Question 74364: solve the inequality
3w+5�4>2w
Click here to see answer by jim_thompson5910(35256)

Question 74351: Could someone please help me with this?

I tried to multiply both sides by 7, and I ended up with:

Am I on the right track?
Your help would be appreciated.
A
Click here to see answer by stanbon(75887)

Question 74685: how do i solve this inequality x+3>9:subtract 3
Click here to see answer by jim_thompson5910(35256)

Question 74828: -33<-5z+2<-8
Click here to see answer by venugopalramana(3286)

Question 74836: solve the inequality
-5e+9>24
Click here to see answer by jim_thompson5910(35256)

Question 74850: 8(1-2z)<25+z
Click here to see answer by jim_thompson5910(35256)

Question 74856: -12< or equal to d+7 what does it equal
Click here to see answer by jim_thompson5910(35256)

Question 74857: z-1 is > or equal to 2z-3
Click here to see answer by jim_thompson5910(35256)

Question 74852: -2/3r<7/12
Click here to see answer by jim_thompson5910(35256)

Question 74848: the product of two numbers is no less than 30. One of the integers is 6. What is the other integer
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