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Which inequality represents all values of x for which the quotient below is
defined?
28(x-1) = 8x?
O A. x less than or equal to -1
B.x great than or equal to 1
O C. x> 1
O D. x<-1


Which Inequality Represents All Values Of X For Which The Quotient Below Is Defined 28x1 8x O A X Less Than Or Equal To 1 Bx Great Than Or Equal To 1 O C Xgt 1 class=

Sagot :

You can re-write this quotient this way :

[tex]\frac{\sqrt{28(x-1)}}{\sqrt{8x^{2} }} = \sqrt{ \frac{28(x-1)}{8x^{2} } }\\[/tex]

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 :

[tex]\frac{28(x-1)}{8x^{2}}\geq 0[/tex]

at the end we get

28(x-1) ≥ 0

28x - 28 ≥ 0

28x ≥ 28

x ≥ 1

So the answer is B, x ≥ 1