Multiple choice

In each of the following questions, two equations are given you have to solve them and. ( I. p^2 + 7p + 12 = 0 ) ( II. q^2 – 5q + 6 = 0 ) Give answer

  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

Factor equation I: p² + 7p + 12 = (p+3)(p+4) = 0, so p = -3 or p = -4. Factor equation II: q² - 5q + 6 = (q-2)(q-3) = 0, so q = 2 or q = 3. For all possible values, p is negative while q is positive, so p < q always. Option C is correct.