Question

if A=(1,2,3) B =(4,5,6) then find A U B. i.e. A union B​

Answer 1

ɢɪᴠᴇɴ:-

• $\sf A \:= \:\{ 1 , 2 , 3\}$
• $\sf B \:= \:\{ 4, 5 , 6 \}$

ᴛᴏ ғɪɴᴅ :-

• $\sf The\: value\: of\: A \:\cup\:B.$

ᴀɴsᴡᴇʀ :-

Given that , A = { 1 , 2 , 3} and B = B = { 4, 5 , 6 } and we have to find A U B .

So,

$\underline{\textsf{\textbf{\purple{ \mapsto Union\:of\:Sets:}}}}$

➳The union of two sets is the final set that contains all of the elements that are in at least one of the two sets. For ex - If P = { a , b , c } and Q = { d , e , f } ; then P U Q = { a , b , c , d , e , f }.

$\pink{\sf Hence \:here ,}$

$\tt:\implies A\cup B = \{1,2,3\}\cup\{ 4,5,6\}$

$\underline{\boxed{\red{\tt\longmapsto A\cup B = \{1,2,3,4,5,6\}}}}$

$\setlength{\unitlength}{1cm}\begin{picture}(12,8)\put(1,1){\circle{4}}\put(1,1){\circle{4}}\put(2,1){\circle{4}}\put(2,1){\circle{4}}\put(2,0){ \bf B }\put(1,0){ \bf A }\end{picture}$

ᴍᴏʀᴇ ᴛᴏ ᴋɴᴏᴡ :-

$\underline{\textsf{\textbf{\purple{ \mapsto Intersection\:of\:Sets:}}}}$

➳ Intersection of two sets say A and B means the set of all those elements which are common to both A and B .For ex - A = { 2, 3 , 4 } and B = { 1, 3,4,5,9 } . Then , A $\cap$ B = { 3,4 }.

$\underline{\textsf{\textbf{\purple{ \mapsto Union\:of\:Sets:}}}}$

➳The union of two sets is the final set that contains all of the elements that are in at least one of the two sets. For ex - If P = { a , b , c } and Q = { d , e , f } ; then P U Q = { a , b , c , d , e , f }.

$\underline{\textsf{\textbf{\purple{ \mapsto Difference\:of\:Sets:}}}}$

➳ Difference of two sets say A and B means the set of all those elements which are in A but not in B . For ex - A = { a,b,c,d } and B = { a,b,c,d,e,f,g } . Then A - B = { e,f,g } .

$\underline{\textsf{\textbf{\purple{ \mapsto Symmetric\:Difference\:of\:Sets:}}}}$

➳ Symmetric difference of two sets say A and B means set of all those elements which are either in A or in B but not in both . We can write as ,

$\boxed{\green{\bf \red{\dag} A\Delta B = (A-B)\cup(B-A)}}$

For ex - A = { 1,2,3,4,5 } and B = { 3,4,5,6,7

}. Then A ∆ B = { 1,2,6,7 } .

Answer 2

Answer:

$1,2,3,4,5,6$

Step-by-step explanation:

As per the given information of the question we have,

$A = (1,2,3)$ and $B = (4,5,6)$

Now, we have to find the value of $A$∪$B$.

$A$∪$B$ refers to the values which are included in both sections at least once in one of the given sets.

As per the given value of $A = (1,2,3)$ and $B = (4,5,6)$,

Thus,

$A$∪$B$$=(1,2,3,4,5,6)$