If B = {2, 3, 5, 6, 7} determine the truth value of ∀ y ∈ B, such that (y - 5) ∈ N

EXERCISE 1.5Q 2.5    PAGE 12
Exercise 1.5 | Q 2.5 | Page 12

If B = {2, 3, 5, 6, 7} determine the truth value of
∀ y ∈ B, such that (y - 5) ∈ N


SOLUTION

For y = 2, y – 5 = 2 – 5 = –3 ∉ N.

∴ y = 2 does not satisfies the equation (y – 5) ∈ N.

∴ The given statement is false.

∴ It’s truth value is F.


Mathematical Logic