We are asked to solve two inequalities for $x$. a) $x + 4 < 6$ b) $x - 2 \le -5$

1. Problem Description

We are asked to solve two inequalities for $x$.

a) $x + 4 < 6$

b) $x - 2 \le -5$

2. Solution Steps

a) To solve the inequality $x + 4 < 6$, we subtract 4 from both sides of the inequality.

$x + 4 - 4 < 6 - 4$

$x < 2$

b) To solve the inequality $x - 2 \le -5$, we add 2 to both sides of the inequality.

$x - 2 + 2 \le -5 + 2$

$x \le -3$

3. Final Answer

a) $x < 2$

b) $x \le -3$