Question

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Answer 1

Answer:

x≥ 21 2/3

Step-by-step 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

Answer 2

Answer:

Answer: A

Step-by-step explanation:

$81 - 1 \frac{1}{5} x \leqslant 55$

subtract 81 from both sides:

$(81 - 1 \frac{1}{5} x) - 81 \leqslant 55 - 81 \\ \\ - 1 \frac{1}{5} x \leqslant - 26$

express the mixed fraction into a proper fraction:

$- \frac{6}{5}x \leqslant - 26$

multiply -5 on both sides:

$( - \frac{6}{5} x) \times 5 \leqslant ( - 26 \times - 5) \\ \\ 6x \leqslant 130$

divide all sides by 6:

$\frac{6x}{6} \leqslant \frac{130}{6} \\ \\ x \leqslant 21 \frac{2}{3}$