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Write the values of $x$ that satisfy $-8 \le x + 17 < -3 - 5x$ as an interval.

 Nov 25, 2023
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We first subtract 17 from each part of the inequality to get −25≤x<−20−5x.

We then add 5x to each part of the inequality to get −25+5x≤−20, which simplifies to 5x≤−5.

Dividing each part of the inequality by 5, we get x≤−1. Since −1≥−20−5(−1), the interval of values of x that satisfy the given inequality is (−∞,−1]​.

 Nov 25, 2023

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