Question

Let A = {June, Janet, James, Justin, Jennifer, Jelly}, B = {Janet, Jelly, Justin}, and C = {Irina, Irena, Arena, Arina, Jelly}. Find the given set.

(A ∩ B) ∪ C

{June, James, Jennifer, Irina, Irena, Arena, Arina}{June, James, Jennifer}     {Janet, Justin, Jelly, Irina, Irena, Arena, Arina}{Janet, Justin, Jelly}∅

Answer 1

Solution:

Given:

A = {June, Janet, James, Justin, Jennifer, Jelly},

B = {Janet, Jelly, Justin}, and

C = {Irina, Irena, Arena, Arina, Jelly}

We have to find:

(ANBUC

First we will find:

(ANB)

That is intersection of events A and B, that is find common elements between A and B.

A = {June, Janet, James, Justin, Jennifer, Jelly},

B = {Janet, Jelly, Justin }

Janet, Jelly, Justin are in both A and B.

Thus

(ANB) = {Janet, Jelly, Justin

Now find

(ANBUC

That is Union of and C

(ANB)

that is we combine all elements and C.

(ANB)

Thus we get:

(ANB)UC = {Janet, Jelly, Justin}U{Irina, Irena, Arena, Arina, Jelly

(ANBUC = {Janet, Jelly, Justin, Irina, Irena, Arena, Arina,}

Thus correct option is:

{Janet, Justin, Jelly, Irina, Irena, Arena, Arina}