SOLUTION: I took a test on multiple inequalities and got a 40 F. I need someone to go over my answers. 1. 2x - 17 ≥ 29 answer:x ≥ 23 2. (x/3) + 5 ≤ 14 answer: x &

1.  2x - 17 >= 29
 answer:x ≥ 23.                    Correct

2. (x/3) + 5 ≤ 14                  Correct
answer: x ≤ 57

3. 3 - 3p < 15                     Incorrect.  Should be p > -4.
answer: p < -4                                 (Check your answer at p = -5)

4. -3n - 6 < -12                    Incorrect.  Should be n > 2.
answer: n < 2                                  (Check your answer at n = 1)

5. What is the solution set of the inequality?   Incorrect.  Should be t < 4.
4t + 2 < 8t - (6t - 10)                                     (Check yours for t = 5)
answer: t > 4

6. Write and solve inequality an inequality based on the following information.
Ten is no more than 4 times the sum of twice a number and three
answer:n ≥ (-1/4)

7. 5(2h - 6) > 4h                   Incorrect.  Should be h > 5.
answer: h < 5                                  (Check yours for h = 4)

     If you have inequality  

        ax < b       (1)

     with   a < 0,  then its solution is 

        x > .      (2)


     Notice that  the inequality sign changes to the opposite 
     when you go from inequality (1) to inequality (2) with negative "a".