Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Solve: \( |3x - 6| \leq 3 \)
Options
A \( 1 \leq x \leq 3 \)
Correct Answer
B \( 1 < x < 3 \)
C \( x \leq 1 \)
D \( x \geq 3 \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

|3x-6| ≤ 3 means -3 ≤ 3x-6 ≤ 3. Add 6: 3 ≤ 3x ≤ 9. Divide by 3: 1 ≤ x ≤ 3.

Hint

Rewrite the inequality as -3 ≤ 3x-6 ≤ 3 and solve.

Question Info