Question

how do you solve and graph this compound inequality : 5 less than or equal to y+ 2 less than or equal to 11

Answer 1

\[5 \le y+2 \le 11\]

We are interested in what values y can take, so we should first solve for y.

By subtracting two from each component, we get:
\[5-2 \le y + 2 - 2 \le 11 - 2 = 3 \le y \le 9\]

So, y is a value strictly between 3 and 9. How might you graph this?