How do you solve for #x# in #2x - 3 < 11#?

1 Answer
Sally
Mar 14, 2016

x<7

Explanation:

In this case, you can treat an inequality as if it's an equals sign- So you can solve for #x# as if you were doing it in an equality.

The goal here is to get #x# all alone.

Let's start with the given inequality:
#2x-3<11#
We can add #3# on both sides:
#2x<14#
Now, we can divide by #2# on each side to solve for #x#:
#x<7#

This means that the inequality will be true for all #x# less than (But not equal to!) 7.

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