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24 March, 03:49

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

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Answers (1)
  1. 24 March, 06:45
    0
    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
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