Question

PLEASE HELP ME WITH SETS

Given A = {2, 0, 1, 3} and B = {0, 6, 2, 9}, what is A U B?
Select one:
a. A U B = { 2, 0, 1, 3, 0, 6, 2, 9}
b. A U B = { 2, 0}
c. A U B = { 2, 0, 1, 3, 6, 9}
d. A U B = {1, 3}

Answer 1

Given :

• Two sets A = {2, 0, 1, 3} and B = {0, 6, 2, 9}

To Find :

• A $\cup$ B

Solution :

$\longmapsto\tt{A={2, 0, 1, 3}}$

$\longmapsto\tt{B={0, 6, 2, 9}}$

Union :

It is a set which consists of all the elements of A and B . The common elements are taken only once . The symbol which is used to denote union is $\cup$

So , The Final answer is :

$A\cup{B}={2,0,1,3,6,9}$

Option c is Correct .

____________________

Set :

A well defined collection of objects is known as Set .

Sets can be represented by :

• Roster form
• Set-builder form

Intersection :

It is a set of all the elements which are common to A and B . The symbol which is used to denote intersection is $\cap$ .For Example :

A = {2, 3, 1, 6} and B = {5, 6, 2, 9}

So , A $\cap$ B is {2,6} .

____________________

Answer 2

Answer:

Question :-

• Given A = {2, 0, 1, 3} and B = {0, 6, 2, 9}. What is A $\sf \cup$ B ?

Option :

• ☯ a) A $\sf \cup$ B = { 2, 0, 1, 3, 0, 6, 2, 9}
• ☯ b) A $\sf \cup$ B = { 2, 0}
• ☯ c) A $\sf \cup$ B = { 2, 0, 1, 3, 6, 9}
• ☯ d) A $\sf \cup$ B = {1, 3}

Given

• Given A = {2, 0, 1, 3} and B = {0, 6, 2, 9}.

Find Out :-

• What is A $\sf \cup$ B ?

Solution :-

We have :

➲ A = {2, 0, 1, 3}

➲ B = {0, 6, 2, 9}

$\red{ \boxed{\sf{\cup\: Union =\: Combination\: of\: two\: sets}}}$

So, according to the question or ATQ :-

➵ A $\sf \cup$ B = {2, 0, 1, 3} $\sf \cup$ {0, 6, 2, 9}

Common elements 2,0 should be taken once,

➵ A $\sf \cup$ B = {2, 0, 1, 3, 6, 9}

➵ A $\sf \cup$ B = {2, 0, 1, 3, 6, 9}

Henceforth, the value of A $\sf \cup$ B is {2, 0, 1, 3, 6, 9} .

Hence, the correct options is :-

c) A $\sf \cup$ B = { 2, 0, 1, 3, 6, 9}.

$\purple{\rule{45pt}{7pt}}\red{\rule{45pt}{7pt}}\pink{\rule{45pt}{7pt}}\blue{\rule{45pt}{7pt}}$

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Extra\: Brainly\: Shots :-} }}}$

⦿ Union :

➳ The union of a set A with a B is the set of elements that are in either set A or B.

➳ The union is denoted as A $\bf \cup$ B.

⦿ Intersection :

✈ The intersection of a set A with a B is the set of elements that are in both set A and B.

✈ The intersection is denoted as A $\bf \cap$ B.