Multiple choice

In each of the following questions, two equations I and II are given. You have to solve them and give answer. I. (p^2 + 16p + 63 = 0) II. (q^2 + 13q + 42 = 0)

  1. If p > q

  2. If p ≥ q

  3. If p < q

  4. If p ≤ q

  5. If p = q or relationship can not be established

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

Solve both equations by factorization: p²+16p+63=0 gives (p+7)(p+9)=0 so p = -7, -9. q²+13q+42=0 gives (q+6)(q+7)=0 so q = -6, -7. Testing all combinations: when p=-7, q=-7 gives p=q; when p=-7, q=-6 gives p