Question

Let A = {x ∈ W | x < 2} , B = {x ∈ W | 1 < x ≤ 4} and C = {3, 5}, then $A\times (B\cap C)=$ .

• A. {(0, 3) (1, 3)}
• B. {(0, 4) (1, 3)}
• C. {(0, 5) (1, 3)}

Answer 1

The correct option is A {(0, 3) (1, 3)}

Given,
A = {x ∈ W | x < 2} , B = {x ∈|1 < x ≤ 4} and C = {3, 5}
A = {0, 1} , B = {2, 3, 4} and C = {3, 5}

Now,
$B\cap C=$ {3}
$A\times (B\cap C)=$ {(0,3) (1,3)}