Question

Which inequality represents all values of x for which the quotient below is

Answer 1

I don’t know I’m so sorry!

Answer 2

You can re-write this quotient this way :

$\frac{\sqrt{28(x-1)}}{\sqrt{8x^{2} }} = \sqrt{ \frac{28(x-1)}{8x^{2} } }$

What's inside the square root must be greater than or equal to 0, because the domain of the square root function is defined on R+ (which is [0,+∞))

In other word we must find x so that :

$\frac{28(x-1)}{8x^{2}}\geq 0$

at the end we get

28(x-1) ≥ 0

28x - 28 ≥ 0

28x ≥ 28

x ≥ 1

So the answer is B, x ≥ 1