Sallie Banks

2021-12-08

Solve the inequality, and write the solution set in interval notation if possible.
$|\frac{y+3}{6}|<2$

Terry Ray

Step 1
We write the inequality without the absolute value sign
$|\frac{y+3}{6}|<2$
$-2<\frac{y+3}{6}<2$
Step 2
Multiply each side by 6
$-2<\frac{y+3}{6}<2$
$-2\left(6\right)<6\left(\frac{y+3}{6}\right)<2\left(6\right)$
-12 Subtract 3 from each side