# How do you solve #|3x + 6| >15#?

The definition of an absolute value is:

As a result, we must resolve both:

I

II

This provides us with:

and

This can be stated as the union of intervals:

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To solve the inequality |3x + 6| > 15, you first isolate the absolute value expression. Then, you split the inequality into two cases: when the expression inside the absolute value is positive and when it's negative. Finally, solve for x in each case.

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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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