Question

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

Answer 1

`-2 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 < 3x+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.,