Multiple choice

Directions: In this question, two equations numbered I and II are given. You have to solve both the equations and mark the correct answer. I. 3x2 - 7x + 2 = 0 II. 2y2 - 9y + 10 = 0

  1. if x > y

  2. if x < y

  3. if x ≥ y

  4. if x ≤ y

  5. if x = y or no relationship can be established between 'x' and 'y'
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

I: 3x^2 - 7x + 2 = 0 -> (3x-1)(x-2) = 0 -> x = 1/3, 2. II: 2y^2 - 9y + 10 = 0 -> (2y-5)(y-2) = 0 -> y = 2.5, 2. Comparing: x values are {0.33, 2}, y values are {2.5, 2}. In all cases, x <= y.

AI explanation

Factor the first equation to get (3x-1)(x-2)=0, yielding x=1/3 or x=2. Factor the second equation to get (2y-5)(y-2)=0, yielding y=5/2 or y=2. Comparing the values, x=2 equals y=2, but x=1/3 is less than both values of y, meaning x is less than or equal to y. Therefore, the relationship is x <= y.

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