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6.

Solve the inequality.

2(b – 8) > 12

b > 6

b > 14

b < 20

b > 20

1 answer

To solve the inequality \(2(b - 8) > 12\), follow these steps:

  1. Distribute the 2 on the left side: \[ 2b - 16 > 12 \]

  2. Add 16 to both sides: \[ 2b > 28 \]

  3. Divide both sides by 2: \[ b > 14 \]

Thus, the solution to the inequality is: \[ b > 14 \]

Therefore, the correct answer is: b > 14.