Multiple choice

In each of the following questions, one or two equations are given. You have to solve them and ( (I) ) ( 2p^2 + 12p + 16 = 0 ) ( (II) ) ( 2q^2 +14q + 24 = 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
E Correct answer
Explanation

Equation (I) factors to 2(p+4)(p+2) = 0, giving p = -4 or p = -2. Equation (II) factors to 2(q+4)(q+3) = 0, giving q = -4 or q = -3. Since p can be greater than, less than, or equal to q depending on which roots are chosen, the relationship cannot be established.