Answer to Question #179119 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

). 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.