Multiple choice

Directions: In the following question, two equations numbered I and II are given. You have to solve both the equations and then choose the correct option. I. 2p2 - 7p + 6 = 0 II. 4q2 = 9

  1. p > q

  2. p ≥ q

  3. p < q

  4. p ≤ q

  5. p = q or no relation can be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Eq I: 2p^2 - 7p + 6 = 0. (2p-3)(p-2)=0, p=1.5 or 2. Eq II: 4q^2 = 9, q^2 = 2.25, q = 1.5 or -1.5. Comparing: p=1.5, q=1.5 (p=q); p=2, q=1.5 (p>q); p=1.5, q=-1.5 (p>q); p=2, q=-1.5 (p>q). Thus p >= q.

AI explanation

Factoring the first equation gives 2p^2 - 4p - 3p + 6 = (2p - 3)(p - 2) = 0, so p equals 2 or 1.5. Solving the second equation gives q^2 = 2.25, so q equals 1.5 or -1.5. Comparing the values of p and q, both values of p are greater than or equal to both values of q.

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