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.

Question

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.

Knowee AI · Accepted Answer

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.

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