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4.

Solve the inequality.

6(b – 4) > 30

b > 9

b < 34

b > 34

b > 5

1 answer

To solve the inequality \( 6(b - 4) > 30 \), we can follow these steps:

  1. Distribute the 6 on the left side: \[ 6b - 24 > 30 \]

  2. Add 24 to both sides to isolate the term with \( b \): \[ 6b > 30 + 24 \] \[ 6b > 54 \]

  3. Divide both sides by 6: \[ b > 9 \]

So the solution to the inequality is \( b > 9 \).

Among the options provided:

  • \( b > 9 \): This option is correct.
  • \( b < 34 \): This is not necessarily true based on the solution.
  • \( b > 34 \): This is incorrect.
  • \( b > 5 \): This is also correct but not the most specific solution.

Therefore, the correct answer is: \( b > 9 \).