Answered

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

√8x^2 divided by √2x

a.x>(or equal to)0

b.x>1

c.x>-1

d.x>0

Verified Answer :

ElleLawliet

So that the ratio is defined:

The denominator can not be zero
 Being an integer index pair, the filing must be greater or equal to zero.

It is concluded that:

x ≠ 0  ∧  2x ≥  0   
                x ≥0

.:.  x > 0     

R/ alternative d) x>0


Jeizon1L :)

Panoyin

\(\sqrt{\frac{8x^{2}}{2x}} = \frac{\sqrt{8x^{2}}}{\sqrt{2x}} = \frac{\sqrt{4 * x^{2} * 2}}{\sqrt{2x}} = \frac{ \sqrt{4}\sqrt{x^{2}} \sqrt{2}}{\sqrt{2x}} = \frac{2x\sqrt{2}}{\sqrt{2x}} = \frac{2x}{\sqrt{x}} = 2\sqrt{x}\)

The answer is D, x > 0.

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