Question

which one of the following values satisfies the inequality $8>y + 4$? $y = 6$ (a), $y = 5$ (b), $y = 4$ (c), $y = 3$ (d)

Explanation:

Step1: Solve the inequality for y

To solve \( 8 > y + 4 \), we subtract 4 from both sides of the inequality.
\( 8 - 4 > y + 4 - 4 \)
Simplifying both sides, we get \( 4 > y \) or \( y < 4 \).

Step2: Check each option

• For option A (\( y = 6 \)): \( 6 < 4 \) is false.
• For option B (\( y = 5 \)): \( 5 < 4 \) is false.
• For option C (\( y = 4 \)): \( 4 < 4 \) is false (since it's not less than, just equal).
• For option D (\( y = 3 \)): \( 3 < 4 \) is true.

Answer:

D. \( y = 3 \)