Question

On multiplying both sides of algebraic inequality $4x\le -4$ by $-4$, we get

• A. $-16x\le 16$
• B. $-16x\ge 16$
• C. $16x\le 16$

Answer 1

The correct option is B $-16x\ge 16$

Given algebraic inequality : $4x\le -4$

We know: When you multiply both sides of an inequality by a negative number, the inequality sign gets flipped.

On multiplying both sides of the algebraic inequality by $-4$
$\Rightarrow 4x\times (-4)\ge (-4)\times (-4)$
$\Rightarrow -16x\ge 16$