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I took a test on multiple inequalities and got a 40 F. I kindly ask someone to go over my answers.
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)
All yours incorrect answers due to the same error and demonstrate that you don't know this fundamental property/feature of inequalities:
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".