How do you solve $3|2x+11|+2<17$ ?

Question

1741 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-29T04:19:45

Solution: $x in -8 < x <-3 or x in (-8,-3)$

$3 |2 x + 11| +2 <17 or 3 |2 x + 11| <15$ or

$|2 x + 11| <15/3 or |2 x + 11| < 5$

a) $2 x + 11 < 5 or 2 x < 5-11$ or

$2 x < - 6 or x < -6/2 or x < -3$ OR

b) $2 x + 11 > -5 or 2 x > -5-11$ or

$2 x > - 16 or x > -16/2 or x > -8$

Solution: $x in -8 < x <-3 or x in (-8,-3)$ [Ans]

How do you solve 3|2x+11|+2<173|2x+11|+2<17?