If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Then find $A\cup B\cup D.$
Answer
381.3k+ views
Hint: $A\cup B$ means all the elements common to set ‘A’ and set ‘B’ and the remaining elements of set A and set B both as well. Apply the definition to get $A\cup B\cup D.$You can use Venn diagram as well.
Complete step-by-step answer:
Here, we have set A, B, C, D as
A = {1, 2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
C = {7, 8, 9, 10, 11}
D = {10, 11, 12, 13, 14}
So, we need to determine the set $A\cup B\cup D$ .
As we know $\cup $ represents a sign of union of two sets i.e., all the elements common to both sets as well as the elements which are not common in both.
$A\cup B\cup D$ will give a set of elements common to A, B and D and remaining elements of A, B, D.
So, we can get elements of $A\cup B\cup D$ by first getting the set which represents $A\cup B$ and then further $A\cup B\cup D$.
Hence, we have set A and set B as
A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}
Now, A and B have two elements in common i.e., {4, 5} and remaining elements in A and B are {1, 2, 3, 6, 7, 8}.
Hence, $A\cup B$ can be given as
$A\cup B=\left\{ 1,2,3,4,5,6,7,8 \right\}$
Now, we can calculate $A\cup B\cup D$ by using set $A\cup B$ and set D.
So, we have
$A\cup B=\left\{ 1,2,3,4,5,6,7,8 \right\}$and D = {10, 11, 12, 13, 14}
Now, no element is common in the two sets and considering the remaining elements in the two sets, $A\cup B\cup D$ can be given as
$A\cup B\cup D=\left\{ 1,2,3,4,5,6,7,8,10,11,12,13,14 \right\}$
Note: One can miss any element while writing $A\cup B$ or $A\cup B\cup D$, so be careful with the elements given in the problem. By missing one element from any set answer will be wrong.
One can get the answer of set $A\cup B\cup D$ by representing sets A, B and D in Venn diagram form as well.
Complete step-by-step answer:
Here, we have set A, B, C, D as
A = {1, 2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
C = {7, 8, 9, 10, 11}
D = {10, 11, 12, 13, 14}
So, we need to determine the set $A\cup B\cup D$ .
As we know $\cup $ represents a sign of union of two sets i.e., all the elements common to both sets as well as the elements which are not common in both.
$A\cup B\cup D$ will give a set of elements common to A, B and D and remaining elements of A, B, D.
So, we can get elements of $A\cup B\cup D$ by first getting the set which represents $A\cup B$ and then further $A\cup B\cup D$.
Hence, we have set A and set B as
A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}
Now, A and B have two elements in common i.e., {4, 5} and remaining elements in A and B are {1, 2, 3, 6, 7, 8}.
Hence, $A\cup B$ can be given as
$A\cup B=\left\{ 1,2,3,4,5,6,7,8 \right\}$
Now, we can calculate $A\cup B\cup D$ by using set $A\cup B$ and set D.
So, we have
$A\cup B=\left\{ 1,2,3,4,5,6,7,8 \right\}$and D = {10, 11, 12, 13, 14}
Now, no element is common in the two sets and considering the remaining elements in the two sets, $A\cup B\cup D$ can be given as
$A\cup B\cup D=\left\{ 1,2,3,4,5,6,7,8,10,11,12,13,14 \right\}$
Note: One can miss any element while writing $A\cup B$ or $A\cup B\cup D$, so be careful with the elements given in the problem. By missing one element from any set answer will be wrong.
One can get the answer of set $A\cup B\cup D$ by representing sets A, B and D in Venn diagram form as well.
Recently Updated Pages
Which of the following would not be a valid reason class 11 biology CBSE

What is meant by monosporic development of female class 11 biology CBSE

Draw labelled diagram of the following i Gram seed class 11 biology CBSE

Explain with the suitable examples the different types class 11 biology CBSE

How is pinnately compound leaf different from palmately class 11 biology CBSE

Match the following Column I Column I A Chlamydomonas class 11 biology CBSE

Trending doubts
Which one of the following places is unlikely to be class 8 physics CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

What is 1 divided by 0 class 8 maths CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

What is pollution? How many types of pollution? Define it

Difference Between Plant Cell and Animal Cell

Find the HCF and LCM of 6 72 and 120 using the prime class 6 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers
