Answer to Question #255214 in Discrete Mathematics for sandi

Question

𝑈 = {𝑥|𝑥 ∈ 𝑅 ∧ 𝑥 > 14} 𝐴 = [−2, 25), 𝐵 = [15, 30]. Find: a) 𝐴̅̅̅∪̅̅̅𝐵̅ =?

Answer 1

Solution:

𝐴 = [−2, 25), 𝐵 = [15, 30]

𝑈 = {𝑥|𝑥 ∈ 𝑅 ∧ 𝑥 > 14}

B is fine but we have to rewrite A in view of given U:

$A=(14,25)$

Now, $A\cup B=(14,30]$