If x + x/2 + x/3 11, x ∈ R then one solution of the inequation is ______.

Question

If x + x/2 + x/3 > 11, x ∈ R then one solution of the inequation is ______.

KollegeApply · Accepted Answer

If x + x/2 + x/3 > 11, x ∈ R then one solution of the inequation is x = 9. Explanation: x + x/2 + x/3 = (6x+3x+2x)/6 = 11x/6 So 11x/6 > 11 ⇒ 11x > 66 ⇒ x > 6 Thus any number > 6 is x = 9

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