Question

If A=(x | x is an even integer), B=(x | x is an odd integer), C=(2, 3, 4, 5), and D=(13, 14, 15, 16), list the element(s) of the following set.

←
A ∩ D
A ∩ D= (Use a comma to separate elements in the set.)

Answer 1

A ∩ D = {14, 16}

Explanation:

Given sets are,

→ A = x

→ D = {13, 14, 15, 16}

Now we have to,

→ find required set of A ∩ D.

Then the answer will be,

→ A ∩ D = {2, 4, 6, 8, ... n} ∩ {13, 14, 15, 16}

→ A ∩ D = {14, 16}

Hence, the required set is {14, 16}.

Answer 2

• A ∩ D = { 14; 16 }

======================

A ∩ D means intersection of the two sets or the common elements of A and D.

We observe that:

• Set A has all even integers,
• Set B has even integers 14 and 16.

It means the common elements of the two sets are 14 and 16:

• A ∩ D = { 14; 16 }