Question

Solve the following inequality for b. write your answer in simplest form. 3 3(4b−9)≥ 9b−3−3

Answer 1

To solve the inequality 3(4b-9) ≥ 9b-3-3, distribute and combine like terms. Then solve for b by moving all terms with b to one side and dividing by 3.

Step-by-step explanation:

To solve the inequality 3(4b-9) ≥ 9b-3-3, we will simplify and solve for b.

Step 1: Distribute the 3 on the left side: 12b - 27 ≥ 9b - 6

Step 2: Move all terms with b to one side: 12b - 9b ≥ -6 + 27

Step 3: Combine like terms: 3b ≥ 21

Step 4: Divide both sides by 3: b ≥ 7

The solution to the inequality is b ≥ 7.