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

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Answer 1 · 2016-06-29T18:06:04

No soln. exists, i.e., soln. set $= \emptyset .$ $=O/.$

Given eqn. $: - 5 | x + 1 | = 10 .$ $: -5|x+1|=10.$
$:. |x+1|=10/-5=-2.$

But for any $x in RR, |x+1|>=0.$
$:. |x+1|!=-2.$

Therefore, no soln. exists, i.e., soln. set $=O/.$

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