Multiple choice

In each of the following questions two equations (I) and (II) are given. Solve these equations and give the answer: ( (I) x^2 -11x + 30 = 0 ) ( (II) y^2 -9y + 20 = 0 )

  1. $If \( x < y \)$
  2. $If \( x > y \)$
  3. $If \( x \ge y \)$
  4. $If \( x \le y \)$
  5. $If \( x = y \) or no relationship can be established between \( x \) and \( y \).$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Equation I: x²-11x+30=0 gives x=5,6 (roots of 5 and 6). Equation II: y²-9y+20=0 gives y=4,5 (roots of 4 and 5). Comparing all combinations: when x=5,y=5 (x=y); when x=6,y=4 (x>y); when x=6,y=5 (x>y); when x=5,y=4 (x>y). In all cases x ≥ y, making option C correct.

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