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2(1/2 w -4) ≤-(w-5)

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2(1/2 w -4) ≤-(w-5)

Use the distributive property:

w-8  ≤ -w + 5

Add 8 to both sides:

w ≤ -w + 13

Add w to both sides:

2w ≤ 13

Divide both sides by 2:

w ≤ 13/2

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Answer:

w ≤ 13/2

Step-by-step explanation:

2(1/2w - 4) ≤ -(w - 5)

w - 8 ≤ -w + 5

w - 8 + w ≤ -w + 5 + w

2w - 8 ≤ 5

2w - 8 + 8 ≤ 5 + 8

2w ≤ 13

2w/2 ≤ 13/2

w ≤ 13/2

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