Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Solve -2 ≤ -3x < 5
Options
A x ∈ (-5/3, 2/3]
Correct Answer
B x ∈ [-5/3, 2/3)
C x ∈ (1,3)
D x ∈ (1,6)
Correct Answer

Option A is the correct answer.

Detailed Explanation

-2 ≤ -3x < 5. Multiply all parts by -1 (reversing inequalities): 2 ≥ 3x > -5 → -5 < 3x ≤ 2 → divide by 3: -5/3 < x ≤ 2/3. So x ∈ (-5/3, 2/3].

Hint

Remember to reverse inequality signs when multiplying by a negative number.

Question Info