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Inequality solution wuestions

Inequality solution wuestions-example-1
User Rein
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There are 10 questions in the attached image. I cannot solve 10 questions for you in one. I suggest that you submit the questions one by one if you really need each one solved.

Here I solve in detail two of the questions and explain the solution. With this explanation you should be able to understatnd how to answer all the questions.

13) a - 6 ≤ 15 + 8a

=> a - a - 6 - 15 ≤ 15 - 15 + 8a - a

-21 ≤ 7a

7a ≥ - 21

a ≥ - 21/7

a ≥ - 3

So, the solutions are all the number on the real line equal or greater than - 3.

14) 13 + 2v - 8 + 6 > - 7 - v

=> 13 - 13 + 2v + v - 8 + 8 + 6 - 6 > - 7 - 13 + 8 - 6 - v + v

=> 3v > - 18

=> 3v > -18 / 3

=> v > - 6

Therefore, the solutions on the real line are all the real numbers greater than - 6.
User Jakub Jurkian
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