How do you solve and graph #-5 < 2x + 1 < 4#?

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Answer 1 · 2018-05-02T10:11:27

#-3< x<3/2#

Shade the area between a dashed line for #x=-3# and a dashed line for #x=3/2#

We want just #x# on its own in the middle.

First,we take away 1 from both sides:

#-5-1<2x+1-1<4-1#
#-6<2x<3#

Then divide all terms by #2#:

#-6/2<(2x)/2<3/2#
#-3< x<3/2#

To graph the inequality, draw a dashed line for #x=-3# and #x=3/2# and shade between the two lines.