Question

$5x+4\ge 24\mathrm{can}\mathrm{be}\mathrm{simplified}\mathrm{into}:$

• A. $x\le 4$
• B. $x<4$
• C. $x\ge 4$
• D. $x>4$

Answer 1

The correct option is C $x\ge 4$

Given, $5x+4\ge 24$
Concept: Multiplying or dividing with a positive number doesn't affect the sign of the inequality.

Subtracting '4' from both the sides of the inequality,
$\Rightarrow 5x+4-4\ge 24-4\Rightarrow 5x\ge 20$

Now, dividing both the sides of the inequality by '5',
$\Rightarrow \frac{5x}{5}\ge \frac{20}{5}\Rightarrow x\ge 4$