# How do you solve 3x + 6 > 36 and 3x + 6<=54?

Jun 25, 2015

You may always add and subtract on both sides. You may also multiply or divide by a positive number, also on both sides.

#### Explanation:

$3 x + 6 > 36 \to$ subtract $6$
$3 x > 30 \to x > 10$

$3 x + 6 \le 54 \to$
$3 x \le 48 \to x \le 16$

Combining: $10 < x \le 16$