3(6b − 1) > 18 − 3b
Solution
Sure, let's solve the inequality step by step:
- Distribute the 3 on the left side of the inequality: 18b - 3 > 18 - 3b
- Add 3b to both sides to get all the b terms on one side: 18b + 3b > 18
- This simplifies to: 21b > 18
- Divide both sides by 21 to solve for b: b > 18/21
- Simplify the fraction: b > 6/7
So, the solution to the inequality 3(6b − 1) > 18 − 3b is b > 6/7.
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