# How do you solve the inequality x-2<=1 or 4x+3>=19?

Dec 29, 2017

$x \le 3$ or $x \ge 4$

#### Explanation:

Solve each inequality on its own:

$x - 2 \le 1 \setminus \rightarrow x \le 3$ (added 2 to both sides)

For the second inequality, start:
$4 x + 3 \ge 19$

Subtract 3 from both sides:
$4 x \ge 16$

Divide both sides by 4:
$x \ge 4$

Our final answer is the combination of the two results we've found:

$x \le 3$ or $x \ge 4$