Find the sum of the smallest value and the greatest value of \(x\) that satisfy the inequality \(|5x + 5| - 8 \leq 17\).
Question and options
Find the sum of the smallest value and the greatest value of that satisfy the inequality .
- 2
- -2
- 4
- -4
Answer and explanation
Correct answer: B - -2
|5x + 5| <= 25 gives |x + 1| <= 5, so -6 <= x <= 4. Smallest + greatest = -6 + 4 = -2.
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