Question

Which of the following inequalities is equivalent to $7-3p\ge \frac{5}{2}$?

• A. $p\ge \frac{3}{2}$
• B. $p\le \frac{3}{2}$
• C. $p\ge -\frac{1}{2}$
• D. $p\ge -\frac{3}{2}$
• E. $p\le -\frac{3}{2}$

Answer 1

The correct option is B $p\le \frac{3}{2}$

Given, $7-3p\ge \frac{5}{2}$
$\Rightarrow 7-3p\ge \frac{5}{2}$
$\Rightarrow -3p\ge \frac{5}{2}-7$
$\Rightarrow -3p\ge \frac{-9}{2}$
$\Rightarrow -p\ge \frac{-3}{2}$
$\Rightarrow p\le \frac{3}{2}$