# How do you solve #14\leq 2t + 18< 20#?

##### 1 Answer

Subtract

#-4 ≤ 2t < 2#

Simplify to get:

#-2 ≤ t < 1#

#### Explanation:

To start, treat the inequality signs as equal signs. This will be changed later on. Remember that what you do to one side of the inequality, you must do to the other.

To solve for

#14 (-18) ≤ 2t + 18 (-18) < 20 (-18)#

simplifies to

#-4 ≤ 2t < 2#

Now, we must further isolate

#-4/2 ≤ (2t)/2 < 2/2#

simplifies to

#-2 ≤ t < 1#

which is your answer