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. $I. (4p^2 - 15p + 14 = 0) II. (3q^2 - 23q + 40 = 0)$

  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
C Correct answer
Explanation

Solving equation I: 4p² - 15p + 14 = 0 factors as (4p - 7)(p - 2) = 0, giving p = 7/4 = 1.75 or p = 2. Solving equation II: 3q² - 23q + 40 = 0 factors as (3q - 8)(q - 5) = 0, giving q = 8/3 ≈ 2.67 or q = 5. Comparing: 7/4 < 8/3 (p < q), 7/4 < 5 (p < q), 2 < 8/3 (p < q), 2 < 5 (p < q). In all cases, p < q.

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