How do you solve $| w + 1 | = 5$ $abs(w+1)=5$ ?

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Answer 1 · 2016-09-11T12:37:43

$w = - 6, 4$ $w = - 6, 4$

We have: $| w + 1 | = 5$ $|w + 1| = 5$

$\Rightarrow w + 1 = 5$ $=> w + 1 = 5$

$\Rightarrow w = 4$ $=> w = 4$

or

$\Rightarrow w + 1 = - 5$ $=> w + 1 = - 5$

$\Rightarrow w = - 6$ $=> w = - 6$

Therefore, the solutions to the equation are $w = - 6$ $w = - 6$ and $w = 4$ $w = 4$ .

How do you solve abs(w+1)=5|w+1|=5abs(w+1)=5?