Kirk solves the inequality 5<12y-7. Which statement explains the steps he uses to find the solution set of the inequality?

Answer 1

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

1. Add 7 to both sides: This helps isolate the term with the variable. \[ 5 + 7 < 12y \] which simplifies to: \[ 12 < 12y \]

2. Divide both sides by 12: This step helps solve for \( y \) by isolating it. Remember that since we are dividing by a positive number, the inequality direction remains the same. \[ \frac{12}{12} < y \] which simplifies to: \[ 1 < y \] or equivalently, \[ y > 1 \]

The solution set of the inequality is \( y > 1 \). Kirk’s steps involved first isolating the term with the variable and then solving for \( y \) while maintaining the direction of the inequality.