Answer to Question #179117 in Discrete Mathematics for Harish

Question #179117

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)


1
Expert's answer
2021-04-15T07:25:51-0400

(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.


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