Use quantifiers to convert the following open sentences defined on N, into a true statement. 2n - 1 = 5

EXERCISE 1.5Q 1.4    PAGE 12

Exercise 1.5 | Q 1.4 | Page 12

Use quantifiers to convert the following open sentences defined on N, into a true statement.

2n - 1 = 5

SOLUTION

∃ n ∈ N, such that 2n - 1 = 5

It is a true statement since all n = 3 ∈ N satisfy 2n - 1 = 5.