To solve the inequality \( 5 < 12y - 7 \), Kirk would proceed with the following steps:
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Add 7 to both sides of the inequality: \[ 5 + 7 < 12y - 7 + 7 \] which simplifies to: \[ 12 < 12y. \]
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Divide both sides of the resulting inequality by 12: \[ \frac{12}{12} < \frac{12y}{12} \] which simplifies to: \[ 1 < y. \]
This means the solution set for the inequality is \( y > 1 \).
Given the response options, the correct statement that explains Kirk's steps is:
Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get \( 1 < y \).