Multiple choice

In each of the following question, two equation (I) and (II) is given. You have to solve them and answer the question. ( (I) ) ( 6x^2 + 23x + 20 = 0 ) ( (II) ) ( 6y^2 + 41y + 63 = 0 )

  1. If x > y

  2. If x < y

  3. If x ≤ y

  4. If x ≥ y

  5. If x = y or Relationship cannot be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Equation I: 6x²+23x+20=0 factors to (2x+5)(3x+4)=0, giving x = −2.5 or x = −1.33. Equation II: 6y²+41y+63=0 factors to (2y+9)(3y+7)=0, giving y = −4.5 or y = −2.33. Since x values (−2.5, −1.33) and y values (−4.5, −2.33) overlap in range (x can be greater or less than y), the relationship cannot be established.

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