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

Tutors Answer Your Questions about Inequalities (FREE)

Question 261591: how do you solve 2|x|-4>14
Click here to see answer by edjones(7569)

Question 261874: What do you need to remember to do when you multiply or divide an inequality by a negative number?
Click here to see answer by drk(1908)

Question 261874: What do you need to remember to do when you multiply or divide an inequality by a negative number?
Click here to see answer by richwmiller(9135)

Question 261818: Rewrite the expression with positive exponents
(29xy)^-2/3
Click here to see answer by checkley77(12569)

Question 262302: solve 7x-26>3(3x-2)
what is the intersection of the two lines?
(-3, -2)
(-1, 14)
(-1, -5)
(4,-6)
Click here to see answer by Edwin McCravy(8909)

Question 262309: help, how do I write an inequality with 3 possible solutions
Click here to see answer by Edwin McCravy(8909)

Question 262321: -2<6x+7/8< or = 2
need a step by step
Click here to see answer by stanbon(57342)

Question 262506: i have a homework problem. it is a cookie contains 9 grams of fat. If u eat no fewer than 4 and no more than 7 cookies, how many grams of fat will you consume? please help!!!!
Click here to see answer by dabanfield(803)

Question 262523: please help me solve these two problems 12(6x+2)=-6(8x-8)
solve using the addition & multiplication principles -11<9x+34-4x
Click here to see answer by richwmiller(9135)

Question 262566: 9-x>3,x=6.5
Is this true or false? and how?
Click here to see answer by richwmiller(9135)

Question 262740: 1. SOLVE THE COMPOUND INEQUALITY
5>-2X+4 OR 9<=-3X+5

Click here to see answer by richwmiller(9135)

Question 262769: Find the distance between the points (24, 14) and (31, 19). Also find the midpoint of the segment that joins the points
Click here to see answer by Alan3354(30993)

Question 262774: Students in Math 120 must have both a passing overall average of at least 70% and a grade of at least 70% on the final to pass the class. Bob has a quiz average of 70%, and three exam grades of 54%, 66% and 76%. If the quiz average counts the same as an exam and the final counts as two exam grades, what range of grades on the final will permit Bob to pass the class?... to earn a B(80
Click here to see answer by drk(1908)

Question 262885: 2. An investment of $5500 is made at an annual simple interest rate of 4.9%. How much additional money must be invested at an annual simple interest rate of 7.4% so that the total interest earned is 6.4% of the total investment?

Click here to see answer by pinklipgloss2007(6)

Question 262987: what value of k will make 16x^2/9 (fraction) - kx + 36 a perfect square trinomial?
Click here to see answer by mananth(12270)

Question 262984: solve the inequality. Give result in set notation: if you need to use 00 write infinity.
3x + 2 < 8
{x|x
Thank you
Click here to see answer by sunitha.pratapani(4)

Question 262983: Need help with this question:
Solve the inequality. Give the result in set notation: (If you need to use or -, enter infinity then graph it.
x+3<10
{x|x
Thank you!
Click here to see answer by richwmiller(9135)

Question 263139: You plan on spending no less than 7,000 and no more than 12,000 on landscaping project write and inequality demonstrating how much you will be willing to spend on the project
Click here to see answer by drk(1908)

Question 263172: This is for inequality word problems. I have a difficult time translating the problem. Here is the question that I need help on.
The sum of two consecutive integers is less than 35. What is the greatest possible pair?
Here is what I tried.
Let x = 1st integer
Let x + 1 = 2nd integer
x + x + 1 < 35
2x + 1 < 35
-1 -1
2/2x < 34/2 (I divided each side by 2)
x < 17
I got the two integers would be 17 and 18 but that is exactly 35 but it should be less than 35. So the correct answer would be 17 and 16 but that means I must have done my legend incorrectly. Please help. Thank you very much.
Click here to see answer by drk(1908)

Question 263293: Armando and Drew do volunteer work at an animal shelter. Drew worked 3 more hours than Armando, and together they worked more than 27 hours. What is the least number of hours each worked?
Click here to see answer by Madgen(4)

Question 263292: Find the greatest possible pair of integers such that one integer is twice the other and their sum is less than 30.
Click here to see answer by Madgen(4)

Question 263442: x + 1/3 ≥ -5
Click here to see answer by drk(1908)

Question 263518: please help me figure out this inequality

Click here to see answer by nikhilthapar(1)

Question 263516: cant seem to figure this one out :/

Click here to see answer by stanbon(57342)

Question 263516: cant seem to figure this one out :/

Click here to see answer by drk(1908)

Question 263614: I just need the equation to for this inequality word problem
Mr. Burke had a sum of money in a bank. After he deposited an additional sum of $100, he had at least $550 in the bank. At least how much money did Mr. Burke have in the bank originally?
Click here to see answer by palanisamy(496)

Question 263667: Is (2,3) a solution to the inequality?
Click here to see answer by Alan3354(30993)

Question 263928: Mrs. Diaz wishes to save at least $1,500 in 12 months. If she saves $300 during the first 4 months, what is the least possible average amount that she must save in each of the remaining 8 months?

Can You Please Show How You Got Your Answer
Click here to see answer by unlockmath(1599)

Question 264297: 3a^2+a-10>0
we are using delta = b^2-4*a*c
my solution to this equation is [-5/2,3} the book says the solution is (-oo,-2)U(5/3,oo)
please help me find what I am doing wrong

Click here to see answer by mananth(12270)

Question 264320: please help
solve the following equationor inequailty for the unknown variable.round answer to two decimal places if necessary.
10-x<4
Click here to see answer by rfer(12657)

Question 264568: -4x+9y=9
x-3y=-6
how do this problem by elimination?
Click here to see answer by jim_thompson5910(28595)

Question 264559: 4-3x-6=3x+2-x
Click here to see answer by jim_thompson5910(28595)

Question 264573: how do you solve -8>_ k-5

Click here to see answer by jim_thompson5910(28595)

Question 264592: q-5/12<=7/18
Click here to see answer by checkley77(12569)

Question 264740: please help with the problem below. We are trying to figure out if the 12 and 21 are added first and then the sum is subtracted from 3s or if it should be -12+21 first and add it to 3s
3s-12+21<27 3s-12+21<27
3s+9<27 3s-33<27
3s<18 3s<-6
s<6 or s<-2
Click here to see answer by jim_thompson5910(28595)

Question 264839: -2 (x + 1) + 3x = 14
Click here to see answer by mananth(12270)

Question 265149: -5x + 6 = -115 + 6x

Click here to see answer by checkley77(12569)

Question 265277: The sale price of a sweater is $48. The price is 20% less that the original price. What was the original price?
Click here to see answer by stanbon(57342)

Question 265318: graphing inequalities, I understand step one, but no further.
Example:
3x+7y > 7
change to equals
3x+7y=7
So where do I go from here and how do I get the numbers( ?,?) to plug ion and be able to graph these questions? I hope that makes sense.
Click here to see answer by jim_thompson5910(28595)

Question 265393: Hello my equation is
Write the verbal sentence as an equation or an inequality:
Four is greater than six times a number t.
Thank you for your help, and I will post thanks to your page

Click here to see answer by mananth(12270)

Question 265422: write an inequality for this sentence: the sum of x and 3 is greater than 20,
my answer was x + 3 > 20
Click here to see answer by Alan3354(30993)

Question 265535: can you help me with this one please?
Solve the inequality. Give the result in interval notation.
4x + 6 < 10 or 2x − 9 > 5
Click here to see answer by Theo(3463)

Question 265659: I seem to be having trouble with a few questions my main one being.....two cars leave Denver at the ame time and travel in opposite directions. One car travels 10mi/h faster than the other car. The cars are 500mi apart in 5 hr. How fast is each car traveling? i would really appreciate some help i dont want just the answer i want help with it and for it to be explained? PLEASE!!!!
Click here to see answer by checkley77(12569)

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