How do you solve #|-4x + -1| = 33#?

1 Answer
Eddie
Jun 27, 2016

#x = - 17/2# and # x = 8#

Explanation:

#|-4x -1| = 33#

let's assume that #-4x-1 >0 # so #|-4x - 1| = -4x -1

so we look at
#-4x -1 = 33 \implies 4x = -34 \implies x = - 17/2#

then let's assume that in fact #-4x-1 <0 # so #|-4x - 1| = 4x+ 1#

so here instead we look at
#4x +1 = 33 \implies 4x = 32 \implies x = 8#

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