Question

Which inequality represent all values of x for which the quotient below is defined??

Answer 1

Answer:

D. $x>0$

Step-by-step explanation:

We have been given a quotient $\sqrt{6x^2}\div\sqrt{4x}$. We are asked to find an inequality that represents all values of x for which the quotient below is defined.

We can rewrite our given expression as:

$\sqrt{6x^2}\div\sqrt{4x}$

We know that a square root expression is defined for all values of x greater than or equal to 0. We also know that a fraction is defined when its denominator is greater than 0.

So our fraction will be defined for all values of x greater than 0.

$4x>0$

Upon dividing both sides of our inequality by 4, we will get:

$\frac{4x}{4}>\frac{0}{4}$

$x>0$

Therefore, the inequality $x>0$ represents all values of x for which the given quotient is defined and option D is the correct choice.