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

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

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

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

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

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Solution

The correct option is A
$2 x \times (- 5) < 16 \times (- 5)$

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

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

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