Question #04520

1 Answer
Dec 16, 2016

#x<5#

Explanation:

We must first isolate the variable. This means we simply do the following steps:

Add #8# to both sides of the inequality:

#5x<25# (I got #25# by combining #17+8# together).

Now simply divide by #5#:

#x<5#

This means that anything less than five is an acceptable answer to this inequality. See below for directions on how to graph it: graph{x<5 [-10, 10, -5, 5]}

As you can see, it's a vertical line. Let's test our theory out. Let's take 0 for example.

#0<5# This checks out since #0# is less than #5#.

#5(0)-8<17# This becomes #-8<17#. This checks out because -8 is less than 17.

Answer: #x<5#