Multiple choice

In each of the following questions, two equations are given. You have to solve them and determine the relationship between x and y. $(I. x(x+2) = 0 )(II. y(y-3) = 0)$

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or relationship can not be established
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Equation I: x(x+2) = 0 gives x = 0 or x = -2. Equation II: y(y-3) = 0 gives y = 0 or y = 3. Comparing all values: x can be 0 or -2, y can be 0 or 3. When x = -2, x < y. When x = 0 and y = 3, x < y. When x = 0 and y = 0, x = y. In all cases, x ≤ y holds.

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