When solving an inequality, you must revers the inequality sign when you multiply (or divide) both sides by a negative number.
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When you divide both sides by a negative value
The usual case is when you multiply or divide an inequality by a negative number.
You solve an inequality in the same way as you would solve an equality (equation). The only difference is that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. Thus, if you have -3x < 9 to find x, you need to divide by -3. That is a negative number so -3x/(-3) > 9/(-3) reverse inequality x > -3
It depends on the specific inequality. In the simplest cases, it is solved just like an equation; except that you must be careful when multiplying and dividing - if you multiply or divide both sides by a negative number, you must switch the inequality sign. For instance, a "less-than" sign would be changed to a "greater-than" sign.
When you divide both sides of an inequality by a negative number, the inequality sign flips.