Marcie solved the following inequality, and her work is shown below: −2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1

What mistake did Marcie make in solving the inequality?

She forgot to flip the sign in the last step.

Step-by-step explanation:

In inequality, if you multiply or divide by a negative number, you would have to reverse the inequality sign.

Marice forgot to do this in the final step. She had to divide '-8' to get x completely on one side. All other steps are correct.

The correct answer is x ≥ -1.

Hope this helps.

u rich

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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