What is the solution set for #absx < 15#?

Answer 1

#-15 < x < 15#

All you really have to do to solve this absolute value inequality is to take into account the two possible signs #x# can have.

In this case, the inequality becomes

#x < 15#

This time, you have

#-x < 15 implies x > -15#
So, the solution set to this inequality will include any value of #x# that simultaneously satisfies these conditions, #x > -15# and #x<15#.
Therefore, the solution set will be #-15 < x < 15#, or #x in (-15, 15)#.
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Answer 2

The solution set for |x| < 15 is all real numbers between -15 and 15, excluding -15 and 15.

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Answer from HIX Tutor

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.

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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