What is the solution set of x/4≤9/x?

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Question:

What is the solution set of x/4≤9/x?

x≤-6 or 0<x≤6.Option D.

Step-by-step explanation:

Given:

Subtract  from both sides,

0

Simplifying by taking common denominator:

Factoring numerator:

Computing the signs and selecting that one satisfies ≤ 0:

x≤ -6,0<x≤6.

Option D is the right answer.

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