Multiple choice

In each of the following questions, two equations are given. You have to solve them and answer the question. $( (I) \quad 2x^2 – 15 = 7x \\ (II) \quad 17y = – 7 – 6y^2 )$

  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): 2x² - 7x - 15 = 0 factors as (2x+3)(x-5) = 0, giving x = -3/2 or 5. Equation (II): 6y² + 17y + 7 = 0 factors as (2y+1)(3y+7) = 0, giving y = -1/2 or -7/3. Comparing: x ∈ {-1.5, 5} and y ∈ {-0.5, -2.33}. The ranges overlap, so relationship cannot be established.

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