Solve the inequality 7w−20≤12.
Question
Solve the inequality 7w−20≤12.
Solution
Sure, here are the steps to solve the inequality 7w - 20 ≤ 12:
Step 1: Add 20 to both sides of the inequality to isolate the term with the variable on one side. This gives you:
7w - 20 + 20 ≤ 12 + 20
which simplifies to:
7w ≤ 32
Step 2: Divide both sides of the inequality by 7 to solve for w. This gives you:
7w / 7 ≤ 32 / 7
which simplifies to:
w ≤ 32/7
So, the solution to the inequality 7w - 20 ≤ 12 is w ≤ 32/7.
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