Is there any rules to be followed with the sign like switch the sign if it is negative?
INEQUALITY:
If you have,
$\displaystyle -2x \le 4$
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)
$\displaystyle x\ge -2$
ABSOLUTE INEQUALITY:
If you have
$\displaystyle |x|\le 6$
then
$\displaystyle x \le 6$ and $\displaystyle x \ge -6$
If you have
$\displaystyle |2x|\ge 10$
then
$\displaystyle 2x \ge 10$ and $\displaystyle 2x \le -10$
$\displaystyle x \ge 5$ and $\displaystyle x \le -5$
did you get it??? Mention the exact math-problem or question that you have trouble with.