Let's solve the inequality step-by-step:
The original inequality is: \[ 5 < 12y - 7 \]
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Add 7 to both sides: \[ 5 + 7 < 12y \] \[ 12 < 12y \]
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Divide both sides by 12: \[ \frac{12}{12} < y \] \[ 1 < y \]
This can also be written as: \[ y > 1 \]
Now, looking at the statements:
- Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1 < y.
The statement "Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1 < y" accurately reflects the steps taken to solve the inequality without any mistakes regarding reversing the inequality symbol or any incorrect operations.
Thus, the correct response is: Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1 < y.