How do you solve $|7x - 15|<20$ ?

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Answer 1 · 2018-07-03T07:32:06

$-5/7 < x < 5$

You have $|x|<\alpha \iff -alpha < x < \alpha$

So,

$|7x-15|<20 \iff -20<7x-15<20$

$\iff -5 < 7x < 35$

$\iff -5/7 < x < 5$

How do you solve |7x - 15|<20|7x - 15|<20?