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What is the solution set for 12-4w>2(w-18)

User Nestoraj
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Final answer:

The solution set for the inequality 12-4w > 2(w-18) is w < 8.

Step-by-step explanation:

To find the solution set for the inequality 12-4w > 2(w-18), we first simplify the expression on both sides of the inequality.

Starting with the left side, we combine like terms:

12 - 4w = 12 - 4w.

Next, we distribute the 2 on the right side:

2(w-18) = 2w - 36.

Now we have 12 - 4w > 2w - 36.

To isolate the variable w, we can subtract 2w from both sides:

12 - 4w - 2w > -36.

Simplifying further, we get -6w > -48.

Dividing both sides by -6, we have w < 8.

Therefore, the solution set for 12-4w > 2(w-18) is w < 8.

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