Q-2 In each of the following implications, where x, y, and z are numbers, decide: (i) if the implication is true; and (ii) if the converse implication is true. (a) x = √4 ⇒ x = 2 (b) (x = 2 and y = 5) ⇒ x + y = 7 (c) (x − 1)(x − 2)(x − 3) = 0 ⇒ x = 1 (d) x2 + y2 = 0 ⇒ x = 0 or y = 0 (e) (x = 0 and y = 0) ⇒ x2 + y2 = 0 (f) xy = xz ⇒ y = z

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.