How do you solve the inequality $5x + 7 <2$ and $5x + 7> –18$ ?

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Answer 1 · 2016-01-02T17:14:49

$-5 < x< -1$

This can be rewritten as

$-18<5x+7<2$

To solve this, isolate $x$ . The first step will be subtracting $7$ . However, subtract $7$ from all parts of the inequality.

$-18-7<5x+7-7<2-7$

Which yields

$-25<5x< -5$

Now, divide each part by $5$ .

$-5 < x< -1$

How do you solve the inequality 5x + 7 <25x + 7 <2 and 5x + 7> –185x + 7> –18?