Answer to Question #179117 in Discrete Mathematics for Harish

Question

Q.1.Let A={1 2 3 4 5} .Determine the truth value of each of the following statements justify your answers: (a) (EE x in A)(x+3=10) (c) (EE x in A)(x+3<5) (b) (AA x in A)(x+3<10) (d) o+x in A|(x+3<=7)

Answer 1

(a). No number in A satisfies $x+3=10.$ So the given statement is false, hence its truth value is F.

(b).number 1 in A satisfies $x+3<5$ . So the given statement is True, hence its truth value is T.

(c).All numbers in set A satisfy $x+3<10$ . So the given statement is True, hence its truth value is T.

(d).number $1,2,3,4$ in A satisfies $x+3\le7$ . So the given statement is True, hence its truth value is T.