# How do you solve and graph -6 <3x + 2 < 11?

Jun 24, 2018

$- 2 \frac{2}{3} < x < 3$

#### Explanation:

It is easier to solve a double inequality by splitting it into 2 inequalities.
Thus, we will split up and solve the given $- 6 < 3 x + 2 < 11$
as
{: (-6 < 3x + 2,,3x+2 < 11), (rarr-8 < 3x,,rarr3x < 9), (rarr -2 2/3 < x,,rarr x < 3) :}

This can be plotted on a number line as shown in the Answer (above); notice the hollow circles which indicate the those values are not included in the solution.,