Question

Determine the value of y in the inequality 12 - 4y < 32

1) y < 5
2) y > 5
3) y < -8
4) y > -8

Answer 1

To solve the inequality 12 - 4y < 32, we subtract 12 from both sides, divide by -4, and reverse the inequality sign, concluding that y is any number greater than -5.

Step-by-step explanation:

To determine the value of y in the inequality 12 - 4y < 32, we can solve for y as follows:

1. Subtract 12 from both sides of the inequality: -4y < 32 - 12.
2. This simplifies to -4y < 20.
3. Divide both sides by -4, remembering that doing so will reverse the inequality sign: y > -5.

Therefore, the value of y that satisfies the inequality is any number greater than -5, which means the correct answer is option 4) y > -8