Multiple choice

In each question given below, two equations numbered as I and II are given. you have to solve both the equations and mark appropriate answer.\nI. (3p^2 + 14p + 15 = 0)\nII. (3q^2 + 10q + 7 = 0)

  1. If p > q

  2. If p ≤ q

  3. If p < q

  4. If p ≥ q

  5. If p = q or relationship can't be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solving equation I: 3p² + 14p + 15 = 0 factors as (3p + 5)(p + 3) = 0, giving p = -5/3 ≈ -1.67 or p = -3. Solving equation II: 3q² + 10q + 7 = 0 factors as (3q + 7)(q + 1) = 0, giving q = -7/3 ≈ -2.33 or q = -1. Comparing: -5/3 > -7/3 (so p > q), -5/3 > -1 (p > q), -3 < -7/3 (p < q), -3 < -1 (p < q). Since both p > q and p < q occur, no consistent relationship exists.

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