Question #41c61

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Answer 1 · 2018-02-16T03:56:23

#-2<x<3# (#x# is between #-2# and #3#)

Let's treat these inequalities like normal two-step equations:

For the first inequality, #3x+2> -4#, we can subtract two from both sides:

#3x> -6#

We can divide both sides by #3# to get:

#x> -2# #quad\color(red)[(1)]#

Let's look at our second inequality, #2x-1<5#. We can add #1# to both sides to get:

#2x<6#

We can divide both sides by #2# to get:

#x<3# #quad\color(red)[(2)]#

Combining both #color(red)[(1)]# and #color(red)[(2)]#, we get

#-2<x<3#