Answered

Let the Universal set be the letters a through j: U = {a, b, ..., i, j}.
Let A = {a, b, d, g}, B = {d, e, f, g}, and C = {a, d, e, j}
List the elements of the set (A∩B)∪C

Answer :

as6854449

Answer:

soln,

U={a,b,...,i,j}

A={a, b, d, g}

B={d, e, f, g}

C={a, d, e, j}

given

(A∩B)∪C

or,[{a, b, d, g}n{d, e, f, g}]UC

or,[{d,g}U{a, d, e, j}]

or,{a,d,e,g}

The elements of the set (A∩B)∪C are {a,d,e,g,j}

What is union of sets and interection of sets?

The union of two sets is the set of all those elements which are either in both sets,whereas intersection of two sets is the set of all elements which are common.

If A and B are two sets-

Intersection of sets = A∩B

Union of sets = A∪B

It is given that Universal set U = {a, b, ..., i, j}.

Set A = {a, b, d, g}

Set B = {d, e, f, g}

Set C = {a, d, e, j}

Now intersection of Set A and B is given as-

A∩B = elements which are common to both A and B

⇒ A∩B = {d,g}

Now, (A∩B)∪C = all elements which are present in A∩B and C

⇒ (A∩B)∪C = {a,d,e,g,j}

Hence,the elements of the set (A∩B)∪C are {a,d,e,g,j}.

More about union of sets and interection of sets :

https://brainly.com/question/20840954

#SPJ5

Other Questions