Answer to Question #117105 in Discrete Mathematics for Priya

Question

Let A={1,2,3,4,5}, determine the truth value of the following:
i.(∀x∈A)(x+3=10),ii.(∃x∈A)(x+3<5).

Answer 1

Q#117105

1) False , because all the element of A are less then or equal to 5 so ,x+3<9 in A

So A has no element which give 10 after adding 3.

2) True , x=1 in A satisfied this condition

i.e. 1+3 =4<5

Hence true

So 1) False

2) True