Answer to Question #257696 in Discrete Mathematics for kot

Question

Let 𝐴={1,2,3,4}. Determine the truth value of each statement:

i. ∀𝑥 ∈𝐴,𝑥+3<6

Answer 1

$𝐴=\{1,2,3,4\}$

Given statement $∀\ 𝑥 ∈𝐴,𝑥+3<6$ is false because

For $x=3, 3+3<6$ which is not valid

For $x=4, 4+3<6$ which is not valid

Truth value of given statement is F.