Kirk solves the inequality 5<12y−7 . Which statement explains the steps he uses to find the solution set of the inequality?(1 point) Responses Kirk adds 7 to both sides of the inequality and then multiplies both sides of the equivalent inequality by 12 to get 144<y. Kirk adds 7 to both sides of the inequality and then multiplies both sides of the equivalent inequality by 12 to get 144 less than y . Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1<y. Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1 less than y . Kirk adds −7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get (−16)<y. Kirk adds negative 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get left parenthesis negative Start Fraction 1 over 6 End Fraction right parenthesis less than y . Kirk adds 7 to both sides of the inequality, then divides both sides of the equivalent inequality by 12 and reverses the inequality symbol to get 1>y.

Answer 1

To solve the inequality \( 5 < 12y - 7 \), Kirk would follow these steps:

1. Add \( 7 \) to both sides to eliminate the constant on the right side of the inequality:
   \[ 5 + 7 < 12y \implies 12 < 12y \]

2. Divide both sides by \( 12 \) to isolate \( y \):
   \[ \frac{12}{12} < y \implies 1 < y \]

Now we can interpret this in the context of the given response options. The correct statement would be:

"Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get \( 1 < y \)."

So the correct choice is the one that states: Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get \( 1 < y \).