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Select the correct answer Solve this inequality for x. 81 - 1 1/5x < 55A. x > 21 2/3B. x < 113 1/3C. x > 5 1/5 D. x < -21 2/3

User Eva Dias
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1 Answer

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81 - 6/5x < 55 (Converting 1 1/5 to an improper fraction ((1*5+1)/5 = 6/5))

81 -81- 6/5x < 55-81 (Subtracting 81 on both sides of the inequality)

-6 /5*x*(-5/6) < -26 *(-5/6) (Multiplying by -5/6 on both sides of the inequality to isolate x)

x > 65/3 (Changing direction of the inequality because of the negative sign)

x > 21 2/3 (Converting 65/3 to a mixed fraction((For 65/3 we obtain 21 as quotient and the remainder is 2 , therefore the mixed number is 21 2/3))

The answer is option A

User Yolima
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