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

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Answer 1 · 2015-08-14T20:33:55

$-15 < x < 15$

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 $x in (-15, 15)$ .

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