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#

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