Question

Solve the inequality :
$25x^2\le 9x$

• A. no solutions
• B. $[0,9/25)$
• C. $[0,+\infty )$
• D. $[0,9/25]$

Answer 1

The correct option is D $[0,9/25]$

$25x^2\le 9x$

$\Rightarrow 25x^2-9x\le 0$

$\Rightarrow x(25x-9)\le 0$

$\Rightarrow 0\le x\le \frac{9}{25}$

$\Rightarrow x\in [0,\frac{9}{25}]$

So, the answer is option (D)