Question

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Answer 1

Answer: A

Explanation:

`81 - 1 (1)/(5) x \leqslant 55`

subtract 81 from both sides:

`(81 - 1 (1)/(5) x) - 81 \leqslant 55 - 81 \\ \\ - 1 (1)/(5) x \leqslant - 26`

express the mixed fraction into a proper fraction:

`- (6)/(5)x \leqslant - 26`

multiply -5 on both sides:

`( - (6)/(5) x) * 5 \leqslant ( - 26 * - 5) \\ \\ 6x \leqslant 130`

divide all sides by 6:

`(6x)/(6) \leqslant (130)/(6) \\ \\ x \leqslant 21 (2)/(3)`

Answer 2

x≥ 21 2/3

Explanation:

81 - 1 1/5x ≤ 55

Subtract 81 from each side

81 -81- 1 1/5x ≤ 55-18

- 1 1/5x ≤ -26

Change the mixed number to an improper fraction

-(5*1+1)/5 x ≤ -26

-6/5 x ≤ -26

Multiply each side by -5/6, remembering to flip the inequality

-5/6 *-6/5x≥ -26 * -5/6

x≥130/6

Changing back to a mixed number

x≥ 21 2/3