Let the universe for both variables x and y be the set {2, 4, 6, 8, 10}. Let p(x,y) = "4 divides the sum x + y". Give the truth value of the indicated statement; explain your answer, and give a counterexample in case the statement is false.?x ?y p(x, y)

What will be an ideal response?


False; counterexample: choose x = 2, y = 4, then 4 does not divide 6.

Mathematics

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