Question

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

√8x^2 / √2x

A x >= 0
B x> 1
C x>0
D x> -1

Answer 1

For "less than or equal to" you can use <=
For "greater than or equal to" you can use >=

√(15(x−1)) / √(2x^2)

Value under square root must be ≥ 0
Value in denominator not = 0

15(x−1) ≥ 0
x−1 ≥ 0
x ≥ 1

2x^2 > 0
x^2 > 0
x ≠ 0

Combining both inequalities, we get:

x ≥ 1