Question

If you multiply an inequality by a negative number ,when should you reverse the inequality symbol ?
(1) Always (2) Never, (3) Sometimes (4) Only if the negative number is a fraction

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is A 1

The rule of thumb is, whenever you multiply an inequality by a negative number, you must flip the inequality sign to maintain the truth of the inequality.

So, when we multiply an inequality by a negative number ,we should always reverse the inequality symbol.

Take $-3x<9$

To solve for x, we divide both sides by $-3$ and get

$x>-3$

Hence, option A- 1 is the correct answer.