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    Question

    Solve the inequality for real x: 3 − 2x ≤ (x

    + 1)/2 < 5
    A 1 ≤ x > 9 Correct Answer Incorrect Answer
    B 1 ≤ x < 9 Correct Answer Incorrect Answer
    C 1 > x > 9 Correct Answer Incorrect Answer
    D 1 ≤ x ≥ 9 Correct Answer Incorrect Answer

    Solution

    Treat as two inequalities. 3 − 2x ≤ (x + 1)/2 Multiply both sides by 2: 6 − 4x ≤ x + 1 6 − 1 ≤ x + 4x 5 ≤ 5x ⇒ x ≥ 1 (x + 1)/2 < 5 x + 1 < 10 ⇒ x < 9 Combined solution: 1 ≤ x < 9

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