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    Question

    The question consists of two equations labeled as I and II. Solve both equations, compare their solutions, and establish the relationship between them.

    I). 2p 2  – 13p + 21 = 0 II). q

    2   – 10q + 24 = 0
    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, 2p2  – 13p + 21 = 0 2p2 – 6p – 7p + 21 = 0 2p(p – 3) – 7(p – 3) = 0 p = + 3, + 7/2 p = + 3, + 3.5 q2 – 10q + 24 = 0 q2   – 6q – 4q + 24 = 0 q(q – 6) – 4(q – 6) = 0 q = + 6, + 4 Hence, p < q

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