# What type of inequality is this

#### shmackd

##### New member
-2 is less then or equal too 3x+10 less then or equal to 31

Staff member

#### HallsofIvy

##### Elite Member
It should be "less than" and "to".

This can be broken into two inequalities:
$$\displaystyle -2 \le 3x+ 10$$ and $$\displaystyle 3x+ 10\le 31$$.
Can you solve each of those?

The solution set for this "compound inequality" is the set of values of x that satisfy both.

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