Multiple choice

In each of the following questions, two equations are given. You have to solve them and answer the question. $( (I) \quad 7x^2 + 10x + 3 = 0 )$ $( (II) \quad 2y^2 + 11y + 14 = 0 )$

  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
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A Correct answer
Explanation

Equation (I): 7x² + 10x + 3 = 0 factors as (7x+3)(x+1) = 0, giving x = -3/7 or -1. Equation (II): 2y² + 11y + 14 = 0 factors as (2y+7)(y+2) = 0, giving y = -7/2 or -2. Comparing values: x ∈ {-0.43, -1} and y ∈ {-3.5, -2}. Both x values are greater than both y values, so x > y.

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