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
I. $$x^{2} + 3x + 2 = 0$$
II. $$2y^{2} = 5y$$
I : $$x^2 + 3x + 2 = 0$$
=> $$x^2 + 2x + x + 2 = 0$$
=> $$x (x + 2) + 1 (x + 2) = 0$$
=> $$(x + 1) (x + 2) = 0$$
=> $$x = -1 , -2$$
II : $$2y^2 = 5y$$
=> $$2y^2 - 5y = 0$$
=> $$y (2y - 5) = 0$$
=> $$y = 0 , \frac{5}{2}$$
$$\therefore$$ $$x < y$$
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