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

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 Algebra: Inequalities, trichotomy Solvers Lessons Answers archive Quiz In Depth

 Question 30171: I am not good with inequalities so i need help with the following... 21-y=(-87)+2y 6-y=(-y)+2 4/3u-6=7/3u+8 7+6z=8z-13 12p=6-3p 5/6t+4=2-1/6t 3+2(k+1)=6+3k 6r+5=8(r+2)-2r (-2)(2c-4=1/3(-12c+24) u/0.3=4u+6.28 0.3x-15=0.2x-5 Click here to see answer by Bb(19)

 Question 30183: how in the world do i do inequalites with fractions? heres an example of what i mean: [-1/8 k is greater than -1] or [2/3 x is greater than 8] Click here to see answer by longjonsilver(2297)

 Question 30309: Lillian is about to invest \$20,000, part at 6% and the rest at 8%. What is the most that she can invest at 6% and still be gauranteed at least \$1500 in intrest per year? Click here to see answer by Fermat(127)

 Question 30616: I do not understand. Question solve each compound ineqaulity and write the solution set using interval notion. 0<5-2x<=10 and -6<4-x<0 Click here to see answer by Nate(3500)
 Question 30616: I do not understand. Question solve each compound ineqaulity and write the solution set using interval notion. 0<5-2x<=10 and -6<4-x<0 Click here to see answer by venugopalramana(3286)

 Question 30617: solve each compound ineqaulity and write the solution set using interval notation. -3<(3x-1)/5<1/2 and 1/3<(3-2x)/6<9/2 Click here to see answer by Cintchr(481)

 Question 30632: Question State the valu of x in the following inequality 3/x-4<=2/x-2 Method i have tried. Multiply both sides by the common denominator which is (x-4)(x-2) which gives you 3(x-2)<=2(x-4) therefore 3x-6<=2x-8 bring all the variable on one side leads me to 3x-2x<=-8+6 thefore x<=-2 Click here to see answer by Earlsdon(6294)
 Question 30632: Question State the valu of x in the following inequality 3/x-4<=2/x-2 Method i have tried. Multiply both sides by the common denominator which is (x-4)(x-2) which gives you 3(x-2)<=2(x-4) therefore 3x-6<=2x-8 bring all the variable on one side leads me to 3x-2x<=-8+6 thefore x<=-2 Click here to see answer by Cintchr(481)

 Question 30883: 0.08x + 0.07(15,000 - x)=1,110 solve the equation by first clearing it of decimals Click here to see answer by longjonsilver(2297)

 Question 28068: Please help me with this problem. Six less than four times a number is twelve more then twice the number.Choose the equation to find the unknown number. then solve. A. 6-4b=12+2b;b=-1 B. 4b-6=12+2b;b=-9 C. 4b-6=12+2b;b=9 Click here to see answer by Fermat(127)

 Question 31166: Help! Solve: Thank you thank you thank you thank you thank you thank you thank (in advance!!) Click here to see answer by longjonsilver(2297)

 Question 31233: i need help with this dam friggen question i got F on this test y>1/2x+4 Click here to see answer by troyapplehelen(46)

 Question 31267: Tickets were sold for a fund raiser for adults and children. The adult tickets are \$5.00 and the children tickets \$3.00. The total amount of monies collected is \$150.00 Click here to see answer by checkley71(8403)

 Question 27167: I am so lost on how to solve this problem.... A woman deposits \$50,000 in a savings account with 4% continuously compounded interest. How many years must she wait until the balance has doubled? Click here to see answer by stanbon(57967)

 Question 31488: I have been working on this Rational inequality since Saturday morning and am still miffed. Problem: (x/x-2)>=5 I put the expression into standard from by (x)/(x-2)-5>=0 I used the LCD to factor and put into one single fraction for(x)-5(x-2)/(x-2)>=0. Which gave me: (X-5x-10)/(x-2)>=0 After combining terms I had: (4x-10)/(x-2)>=0 Which I then set both numerator and demonitor to be solved for >=0 and arrivd at: x>=10/4 or 5/2 and x-2=0 which is (+2-2)>=0 which is Undefined and not a solution since a zero in the denominnator can't be a solution. So (2,5/2) became the boundary points to test for true and fasle statements. This is where I get confused. When I plugged this expression into my y= screen on my TI-83 Plus calculator it gave me a vertical asympotote where the solutions I came up with is located on the x-axis. When I algebraically used test values for the three intervals of (-00,2) (2,5/2) (5/2,00) I was even more confused because, when I tested using (-2) for the first interval of (00,2) the result was (-4) a value that was not >=5 and for the next test interval of (2,5/2) and used (2.25) as a test value I still get a value less than 5. And for the last test inteval of (5/2,00) I used (3) I still get a denominator (3-2) that is less than 5. So none of the solutions I came up with are true statements. None of these test values would satisfy the inequality statement of being >= to 5. So the only thing I could figure out was that the vertical asymptote must mean some sort of sign change that takes place, but whee in the solution process this takes place is a mystery to me, as I hunted til the cows did not come home trying to find this answer. At this rate I will never get this take home quiz finished by Tuesday March 28th. Your help in helping me with this task is greatly appreciated. My God I have spent some 20 hours since Sat morning and its now nearly midnight Sunday. Sincerely, Robert S. Click here to see answer by venugopalramana(3286)

 Question 31587: I am doing word problems. I am being asked to find the pair of integers with the greatest sum if the sum of two consecutive integers is less than 55. I have to write and equation and then solve it. Click here to see answer by ikdeep(226)

 Question 31665: How do you graph linear inequalities with two variables? (x and y) Click here to see answer by benni1013(197)

 Question 31657: a baker has 25 lbs of wheat and 5 lbs of sugar. To bake each loaf of bread, the baker needs to use 1.3 lbs of wheat and 0.5 lbs sugar. To bake each muffin, the baker needs 0.4 lbs of wheat and 0.16 lbs of sugar. Set up the inequalities representing the baker's possible choices for baking the number of loaves of bread and muffins to use up his available resources(wheat and Sugar). If each loaf of bread is sold for \$2.50, and each muffin is sold for \$1.15, define an equation to represent the baker's profit function. How many of each should he make for maximum profit? Click here to see answer by Paul(988)

 Question 31727: I have two Questions on inequalities: Solve: -x+1< -1/2 and |b+2|< -1 I could really use some help please!!!!!!! Click here to see answer by mukhopadhyay(490)

 Question 31917: Temperature-F and C scales. Both these scales are linear---is there any point when F = C? What would it be and how did you find it? Click here to see answer by mukhopadhyay(490)

 Question 32008: sorry i don't have a book its on my computer...but the question is solve the following inequality for x. 19x^2+24x+1<0 Click here to see answer by venugopalramana(3286)

 Question 32056: (1/(x+2))+(2/(x-3))<=1 here is my work: ((x-3)+2(x+2)-((x+2)(x-3)))/((x+2)(x-3))<=0 you then simplify to get: (-x^2 +2x +7)/((x+2)(x-3))<=0 but when you use the quadratic equation it is very ugly. Thank you, Alexus Click here to see answer by Earlsdon(6294)

 Question 32319: If Mrs. Bob has 3 cookies and eats one how many does she have leave? Answer she has none she ate all threes boxes 2 COOKIES 0 SHE NEVER ATE ONE HER KIDS DID Click here to see answer by mcginley94(1)

 Question 32245: PROVE ALGEBRAICALLY THAT: ( (xy) / (1+(xz)) ) > ( ((xy)+(ab)) / (1 + (xz) + (ac)) ) REDUCES TO: (b/c) < ( (xy) / (1+(xz)) ). I HAVE NO IDEA WHERE TO EVEN START!! Click here to see answer by venugopalramana(3286)

 Question 32425: a child must be 50 in tall to ride on a roller coaster . how would I determine how to find this answer? H > 50 H > 50 - H < 50 H < 50 - Click here to see answer by mukhopadhyay(490)