How do you solve $- 5| x + 1| = -10$ ?

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Answer 1 · 2017-06-19T22:54:23

You may start by dividing both sides by $-5$

$->|x+1|=2$

In fact this represents two equations, depending on the value of $x$ being smaller or greater than $-1$

$x>=-1: x+1=2->x=1$

$x<=-1:-(x+1)=2->-x-1=2->x=-3$
graph{|x+1| [-10, 10, -5, 5]}

How do you solve - 5| x + 1| = -10 - 5| x + 1| = -10?