Question

FIFTY POINTS!

Which compound inequality represents the inequality |y – 3| − 4 ≤ −3?
−1 ≤ y – 3 OR y – 3 ≤ 1
y – 3 ≤ −1 OR y – 3 ≥ 1
−1 ≤ y – 3 AND y – 3 ≤ 1
y – 3 ≤ −1 AND y – 3 ≥ 1

Answer 1

• |y-3|-4≤-3
• |y-3|≤-3+4
• |y-3|≤1

so

• y-3≥-1
• y-3≤1

Or

• -1≤y-3

Option A

Answer 2

Explanation:

|y – 3| − 4 ≤ −3

|y – 3| ≤ -3+4

|y – 3| ≤ 1

-1 ≤ y-3 ≤ 1

=> -1 ≤ y - 3 or y - 3 ≤ 1 (the first option)