Question: logic and discrete structures sample answer for this sort of questions: (3) Determine the truth-values of the following. Give reasons. (a) Vry : x +

logic and discrete structures

sample answer for this sort of questions:

(3) Determine the truth-values of the following. Give reasons. (a) Vry : x + y = 1 for x,y E Z (b) Vx,y e R+ : V= y (c) 3x Z, Vy E Z: x + y = 1 3. Show whether of the following true or false. Explain why. (a) VxER:x2 > 0 False counter Example 0 R but 02 * 0. (b) 3m ER: m2 = m True let x=00 R where 02 = 0 (c) VxVy e R: x2 > y2 + x > y False counter Example : let x=-2 y=1 -22 > 12 but -2*1

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