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    Question

    I). 3p 2  – 13p + 12 = 0 II).  4q

    2 + 3q – 7 = 0 The question consists of two equations labeled as I and II. Solve both equations, compare their solutions, and establish the relationship between them.
    A p > q Correct Answer Incorrect Answer
    B p < q Correct Answer Incorrect Answer
    C p = q or relationship between p and q can’t be established. Correct Answer Incorrect Answer
    D p ≥ q Correct Answer Incorrect Answer
    E p ≤ q Correct Answer Incorrect Answer

    Solution

    ATQ, 3p 2 – 13p + 12 = 0 3p 2 – 9p - 4p + 12 = 0 3p(p – 3) – 4(p – 3) = 0 p = + 3, + 4/3 p = + 3, + 1.33 4q 2 + 3q – 7 = 0 4q 2 – 4q + 7q – 7 = 0 4q(q – 1) + 7(q – 1) = 0 q = + 1, - 7/4 q = + 1, - 1.75 Hence, p > q

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