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Category - Math

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Which of the following is not a solution of (x + 7)/2 − x<(x − 1)/10 − (x + 4)/5?
  1. 4
  2. 6
  3. 8
  4. 10
  5. 12
Explanation
Answer: E - Twelve is not a solution of the inequality.
(x + 7)/2 − x<(x − 1)/10 − (x + 4)/5 × 10
10 × (x + 7)/2 − 10x<10 × (x − 1)/10 − 10 × (x + 4)/5
5(x + 7) − 10x<1(x − 1) − 2(x + 4)
5x + 35 − 10x<x − 1 − 2x − 8
− 5x + 35< − x − 9
− 5x + x< − 9 − 35
− 4x< − 44 × ( − 1)
4x>44
x>44/4
x>11

The solution must be greater than 11, so it’s 12.
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