Question

solve the inequality.
12 - 3y < 27

y
(type an integer or a decimal.)

Explanation:

Step1: Subtract 12 from both sides

To isolate the term with \( y \), we subtract 12 from both sides of the inequality \( 12 - 3y < 27 \). This gives us \( 12 - 3y - 12 < 27 - 12 \), which simplifies to \( -3y < 15 \).

Step2: Divide both sides by -3 (and reverse inequality)

When we divide both sides of an inequality by a negative number, we must reverse the inequality sign. So, dividing both sides of \( -3y < 15 \) by -3 gives \( \frac{-3y}{-3} > \frac{15}{-3} \), which simplifies to \( y > -5 \).

Answer:

\( y > -5 \)