# How do you solve the inequality 2 + 7 ≤ 17 + 2y or 4y ≥ 49 - 3y?

Apr 28, 2017

$y \ge 7$

#### Explanation:

$9 \le 17 + 2 y$
Get$y \ge - 4$
$4 y \ge 49 - 3 y$
Get $y \ge 7$
Combine 2 results $\implies y \ge 7$
This solution both satisfies these inequalities.
Why don't choose $y \ge - 4$?
Because if you let $y = - 1$ bring in the second inequality
It doesn't correspond.