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Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number.12z - 3 ≥ 2z - 15

Question

Solve the following inequality:

12z32z15 12z - 3 \geq 2z - 15

Then place the correct answer in the box provided. Answer in terms of a mixed number.

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Solution

To solve the inequality 12z - 3 ≥ 2z - 15, we need to isolate the variable z on one side of the inequality sign.

Step 1: Start by subtracting 2z from both sides of the inequality: 12z - 2z - 3 ≥ 2z - 2z - 15 10z - 3 ≥ -15

Step 2: Next, add 3 to both sides of the inequality: 10z - 3 + 3 ≥ -15 + 3 10z ≥ -12

Step 3: Divide both sides of the inequality by 10: (10z)/10 ≥ (-12)/10 z ≥ -1.2

Therefore, the solution to the inequality 12z - 3 ≥ 2z - 15 is z ≥ -1.2.

This problem has been solved

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