# Math Help - Absolute Inequalities

1. ## Absolute Inequalities

Is there any rules to be followed with the sign like switch the sign if it is negative?

2. Originally Posted by Russian
Is there any rules to be followed with the sign like switch the sign if it is negative?
INEQUALITY:

If you have,

$-2x \le 4$

then, the sign of inequality is switched if you multiply or divide both sides with a negative number (here, we divide both sides by -2)

$x\ge -2$

ABSOLUTE INEQUALITY:

If you have

$|x|\le 6$

then

$x \le 6$ and $x \ge -6$

If you have

$|2x|\ge 10$

then

$2x \ge 10$ and $2x \le -10$

$x \ge 5$ and $x \le -5$

did you get it??? Mention the exact math-problem or question that you have trouble with.