Kirk solves the inequality 5y. 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 multiplies both sides of the equivalent inequality by 12 to get 144

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) Responses 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. 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 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 (−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 divides both sides of the equivalent inequality by 12 to get 1<y.

GPT-4o mini · Answer

Let's solve the inequality step-by-step:

The original inequality is: \[ 5 < 12y - 7 \]

Add 7 to both sides: \[ 5 + 7 < 12y \] \[ 12 < 12y \]
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.