Question

Kirk solves the inequality 5<12y−7 . Which statement explains the steps he uses to find the solution set of the inequality?(1 point)ResponsesKirk 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.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 greater 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 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 .

Answer 1

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

1. **Add 7 to both sides**: This step will help isolate the term involving \( y \).
\[
5 + 7 < 12y \implies 12 < 12y
\]

2. **Divide both sides by 12**: This step will solve for \( y \). Note that when dividing by a positive number, the inequality symbol does not change direction.
\[
\frac{12}{12} < y \implies 1 < y
\]

In conclusion, the correct statement that explains the steps is:

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