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

This can be rewritten as

#-18<5x+7<2#

To solve this, isolate

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

Which yields

#-25<5x< -5#

Now, divide each part by

#-5 < x< -1#

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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