Directions: In the following question, two equations numbered I and II are given. You have to solve both the equations and find out the relationship between x and y. Give your answer as (1) if x > y (2) if x > y (3) if x > x (5) if x = y or the relationship cannot be established I. 2x2 − 7x + 3 = 0 II. 2y2 − 15y + 27 = 0

Factor the first equation as 2x squared minus 7x plus 3 equals 0 to get x = 3 or 0.5. Factor the second equation as 2y squared minus 15y plus 27 equals 0 to get y = 4.5 or 3. When comparing the values, x is greater than y in the first comparison, equal in the second, and less in the third, meaning x is greater than or equal to y. The provided answer text appears to contain typographical errors in its descriptions, but this working aligns with standard inequality comparison results.

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