Question

If A = {1, 2, 3}, B = {3, 4, 5}, then (A∩B)xA ​

Answer 1

Tip: Recall the concept of sets

$A\cap B$ is a set that contains elements that are common in both sets $A$ and $B$.

Given: $A=\{1,2,3\};B=\{3,4,5\}$

To find:$(A\cap B)\times A$

Explanation:

We can see that the common element in both the sets is $3$

$\implies A\cap B=\{3\}$

So $(A\cap B)\times A$

$\implies \{3\}\times \{1,2,3\}$

$\implies\{(3,1),(3,2),(3,3)\}$

Hence, $(A\cap B)\times A=\{(3,1),(3,2),(3,3)\}$

Answer 2

Given; A = {1, 2, 3}, B = {3, 4, 5},

To Find ; (A∩B)xA

Solution A = {1, 2, 3}, B = {3, 4, 5},

Here A contains 1,2,3 and B contains 3,4,5

Intersection means the elements in common here intersection means all the elements which are present in both A and B

(A∩B)= {3}

(A∩B)xA={(3,1),(3,2),(3,3)}

Hence (A∩B)xA is {(3,1),(3,2),(3,3)}