Question

If 2x > 16; then which of the following statement holds true for the given inequation.

• A. $2x\times (-5)<16\times (-5)$
• B. $2x\times (-5)>16\times (-5)$
• C. $2x\times (-5)\le 16\times (-5)$
• D. $2x\times (-5)\ge 16\times (-5)$

Answer 1

The correct option is A

$2x\times (-5)<16\times (-5)$

When an inequality is multiplied or divided by any negative integer, then the inequality sign changes.
Since $2x\times (-5)<16x(-5)$ is multiplied by a negative integer (-5) on both sides, its inequality sign changes.

Hence, $2x\times (-5)<16\times (-5)$ is the required answer.