Let S = {3, 6, 9} and T={A, B, C} use the set-roster notation to write each of t

Question

Let S = {3, 6, 9} and T={A, B, C} use the set-roster notation to write each of the following sets and indicate the number of elements in each set a. S times T b. T times S Define a relation T from R to R as follows. For all real numbers x to y as (x, y) belongs to T means that 2y^2 + 3x^2 = 1. Is T a function? Explain. Use truth tables to test the truth of the following statements. A conditional statement is not logically equivalent to its converse Use truth tables to verify ~ (p rightarrow q) = P^A ~ q.

Explanation / Answer

1) S={3,6,9} and T={A,B,C}

a) S x T = { (3,A),(3,B),(3,C), (6,A),(6,B),(6,C), (9,A),(9,B),(9,C) }

b) T x S = { (A,3),(A,6),(A,9), (B,3),(B,6),(B,9), (C,3),(C,6),(C,9) }

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