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solve the following compound inequality. -10 ≤ 5 + x < -5

Question

solve the following compound inequality. -10 ≤ 5 + x < -5

Explanation:

Step1: Subtract 5 from all parts

Subtract 5 from each part of the inequality $-10\leq5 + x<-5$.
$-10 - 5\leq5 + x-5<-5 - 5$

Step2: Simplify the expressions

Simplify the left - hand side, middle, and right - hand side.
$-15\leq x<-10$

Answer:

$-15\leq x<-10$