Question

Which of the following option(s) satisfies inequality $\frac{x}{5}\ge -7$?

• A. $x=-35$
• B. $x=-30$
• C. $x=-40$
• D. $x=-45$

Answer 1

Answer: (A), (B)

$x=-30$

Given, $\frac{x}{5}\ge -7$

Multiply both sides of the inequality by 5 to eliminate 5 on the left side of the inequality.

Also, multiplying the inequality by a positive number does not change the direction of the inequality .
$\Rightarrow \frac{x}{5}\times 5\ge -7\times 5\Rightarrow x\ge -35$

So, the value of $x$ which is greater than or equal to $-35$ satisfies the given inequality.

Hence, $x=-35$ and $x=-30$ satisfy the given inequality.