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

Tutors Answer Your Questions about Inequalities (FREE)

Question 652700: I need to solve the following inequality and i've tried everything but i can't seem to find an answer.
The problem says:
A number is less than one fourth the sum of three times the number and four.
x < 1/4 + 3x + 4
Click here to see answer by ewatrrr(24785)

Question 652750: You drove 365 miles using 15 gallons of gasoline a that costs $3.50 per gallon. If you get 27 mi/ gal on the highway �and 19 in the city, how much did you spend for fuel for highway driving and how much for city driving?�
Click here to see answer by DrBeeee(684)

Question 652881: 2k-3/5>7
Click here to see answer by Aaniya(63)

Question 652884: 15p+3(p-1)>3(2x2x2)
Click here to see answer by Aaniya(63)

Question 653235: find the solution to the inequality : x� ≧ 25

Click here to see answer by Edwin McCravy(20054)

Question 653772: 1. Can you explain the steps:
3x-4y=5 for y
answer: y 3x over 4 - 5 over 4
2. Solve the inequality:
1 over 10x - 2 over 5x < 3
3. -4 is less than or equal to 2x + 6 is less than 12
Click here to see answer by lynnlo(4176)

Question 653794: 5z>or equal to -75. Would the answer be z < or equal to -15
Click here to see answer by lynnlo(4176)

Question 653893: Hi!
I also need some help for this one:

I need to find x
After many attempts, I'm still unable to remove the square root...
Thanks in advance!
Click here to see answer by solver91311(24713)

Question 653890: Hello!
I have problems when trying to solve this one:

I need to find x
Thanks in advance for your help!
Click here to see answer by MathLover1(20849)

Question 654258: How would you solve b/6>-3
Click here to see answer by lynnlo(4176)

Question 654689: What is the solution to this inequality?
x - 9 < -5

Click here to see answer by jim_thompson5910(35256)

Question 655232: The length of a rectangle is 9.7cm more than 4 times the width. If the perimeter of the rectangle is 91.4cm what are the dimensions?
Click here to see answer by checkley79(3341)

Question 656199: I need help finding the slope and y-intercept of y=1/8x+5
Click here to see answer by lynnlo(4176)

Question 656277: can you help me with my homework , due tommorow ?
x+7=5(3x-3)
8x+7=2x-5
6x+3=x+9
5x-5=x-6
5(x-2)=3x-2
x+8=2(4x-4)
6b-12<7b+14
-
Click here to see answer by MathLover1(20849)

Question 656397: 5-x is less than ar equal to 2
Click here to see answer by rfer(16322)

Question 656930: 4 + 9y + is greater then or equal to 3(3y + 2) is that a no solution inequality?
Click here to see answer by solver91311(24713)

Question 656903: Solve by factoring.
2x^2 = 8x
Click here to see answer by fcabanski(1391)

Question 657466: I'm having troubles with this question x-4>-10 and 8x<=32 now I added 4 on each side and i get x>-6 and 8x<=36 I don't know what to do next.
Click here to see answer by stanbon(75887)

Question 657471: In a parents-teacher's conference, there were twice as many women as men.If there were 51 people attending, how many men and women were there, Please help me with this problem..
Click here to see answer by rfer(16322)

Question 657492: | 7p + 4 | /8=3

Click here to see answer by lwsshak3(11628)

Question 657992: how to solve this problem
7x-9x+10=-4x+6

Click here to see answer by ewatrrr(24785)

Question 658021: A CHEMIST NEEDS TO MIX AN 18% ACID SOLUTION WITH A 45% ACID SOLUTION TO OBTAIN 12 GALLONS OF A 36% ACID SOLUTION. HOW MANY GALLONS OF EACH OF THE ACID SOLUTIONS MUST HE USE?

Click here to see answer by josmiceli(19441)

Question 658213: solve each compound inequality-2x < -8 and x - 5< 5
Click here to see answer by jim_thompson5910(35256)

Question 658280: please help me solve 3n-7>n+1 or 4n-5<3n-3
thank you!
Click here to see answer by jim_thompson5910(35256)

Question 658309: How would I do a problem like v-7(v-4)>-6v+7
this is an inequality problem.
Thanks
Click here to see answer by jim_thompson5910(35256)

Question 658363: 15-b<7b+7
Click here to see answer by jim_thompson5910(35256)

Question 658454: what is the solution to x^2 < 25?

Click here to see answer by lwsshak3(11628)

Question 658439: solve the following inequality. write your solution in interval notation. x-5/x+2>=1
Click here to see answer by lwsshak3(11628)

Question 658892: Im bad at math can u help?
Click here to see answer by MathLover1(20849)

Question 658908: I need to solve y ≥ -4x + 5. I need to graph it and find the slope and the y-intercept.

Click here to see answer by MathLover1(20849)

Question 659000: for the function f(x)=4-x^, construct and simplify the difference quotient
f(x+h)-f(x)
____________
h
Click here to see answer by Alan3354(69443)

Question 657683: Solve
18 (y - 3) - 13 (2 y + 5) > 7 y + 8
Click here to see answer by jim_thompson5910(35256)

Question 659342: Solve the inequality x^2>64. type the answer in interval notation.
Click here to see answer by jim_thompson5910(35256)

Question 659613: The Cincinnati Reds play 162 games in a season. So far they have won 57 games. HOw many more games must they win in order to win at leats 65% of all games for the season? Write an inequality
Click here to see answer by ReadingBoosters(3246)

Question 659861: 3x + 7 _< 25
Click here to see answer by lynnlo(4176)

Question 660100: Which equation is an identity?
a. 11-(2v+3)=-2v-8
b. 5w+8-w=6w-2(w-4)
c. 7m-2=8m+4-m
d. 8y+9=8y-3
Click here to see answer by Edwin McCravy(20054)

Question 660252: 1<3-8y<7
solve and show work
3.5x<-4.2or14-5x<0
Click here to see answer by MathLover1(20849)

Question 660350: Find all roots of x3 + 2x2 + 2x + 1. Hint: Find the rational one(s) first.
Click here to see answer by lynnlo(4176)

Question 660572: -1<9+n<17
Click here to see answer by jim_thompson5910(35256)

Question 660728: -17<-6x+25
Click here to see answer by jim_thompson5910(35256)

Question 660760: how do you graph the equation y=x+4??????????

Click here to see answer by jim_thompson5910(35256)

Question 660769: If show that the solution set of the inequality consists of all numbers x for which or .
I figured it out all the way to the point from here ,when I try to solve for x by setting each factor as greater than 0, I get the opposite result of what I need, i.e. instead of and I don't know why. Thanks so much again!
Click here to see answer by josmiceli(19441)

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