Multiple choice

In the given question two equations numbered (I) and (II) are given. You have to solve both the equations and give answer.\newline I. (4p^2 - 8p + 3 = 0)\newline II. (2q^2 - 13q + 15 = 0)

  1. If p > q

  2. If p < q

  3. If p ≥ q

  4. If p ≤ q

  5. If p = q or no relation between p and q can be established

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solve equation (I): 4p² - 8p + 3 = 0 factors to (2p-1)(2p-3) = 0, giving p = 1/2 or p = 3/2. Solve equation (II): 2q² - 13q + 15 = 0 factors to (2q-3)(q-5) = 0, giving q = 3/2 or q = 5. Since p can be 0.5 or 1.5, and q can be 1.5 or 5, we have p ≤ q in all cases (0.5 ≤ 1.5, 0.5 ≤ 5, 1.5 ≤ 1.5, 1.5 ≤ 5).