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Instructions
In each of the following questions, one or two equations (s) is/are given. On
their basis you have to determine relation between x and y and then,
Give answer a: if x < y
Give answer b: if x > y
Give answer c: if x ≤ y
Give answer d: if x ≥ y
Give answer e: if x = y
Solution
I : $$x^2 - 5x + 6 = 0$$
=> $$x^2 - 3x - 2x + 6 = 0$$
=> $$x (x - 3) - 2 (x - 3) = 0$$
=> $$(x - 3) (x - 2) = 0$$
=> $$x = 3 , 2$$
II : $$y^2 + y - 6 = 0$$
=> $$y^2 + 3y - 2y - 6 = 0$$
=> $$y (y + 3) - 2 (y + 3) = 0$$
=> $$(y + 3) (y - 2) = 0$$
=> $$y = -3 , 2$$
$$\therefore$$ $$x \geq y$$
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