To solve the inequality |1 – x| ≤ 4, we can break it down into two separate cases due to the absolute value:

Case 1: 1 - x ≤ 4
Solving for x gives us x ≥ -3.

Case 2: -(1 - x) ≤ 4
This simplifies to x - 1 ≤ 4, and solving for x gives us x ≤ 5.

Therefore, the set of exhaustive values of x satisfying |1 – x| ≤ 4 is -3 ≤ x ≤ 5.

Question

To solve the inequality |1 – x| ≤ 4, we can break it down into two separate cases due to the absolute value:

Case 1: 1 - x ≤ 4
Solving for x gives us x ≥ -3.

Case 2: -(1 - x) ≤ 4
This simplifies to x - 1 ≤ 4, and solving for x gives us x ≤ 5.

Therefore, the set of exhaustive values of x satisfying |1 – x| ≤ 4 is -3 ≤ x ≤ 5.

Knowee AI · Accepted Answer

To solve the inequality |1 – x| ≤ 4, we can break it down into two separate cases due to the absolute value:

Case 1: 1 - x ≤ 4
Solving for x gives us x ≥ -3.

Case 2: -(1 - x) ≤ 4
This simplifies to x - 1 ≤ 4, and solving for x gives us x ≤ 5.

Therefore, the set of exhaustive values of x satisfying |1 – x| ≤ 4 is -3 ≤ x ≤ 5.

The set of exhaustive values of x satisfying |1 – x| ≤ 4 is