Answer

Verified

444.3k+ views

Hint- Here, we will be subtracting the elements of set A’ from the universal set U.

Given, Universal set as ${\text{U}} = \left\{ {1,2,3,4,5,6,7,8,9} \right\}$

Sets ${\text{A}} = \left\{ {1,2,3,4} \right\}$, ${\text{B}} = \left\{ {2,4,6,8} \right\}$,${\text{C}} = \left\{ {3,4,5,6} \right\}$

To prove: Set ${\text{A'}} = \left\{ {5,6,7,8,9} \right\}$

As we know that set A’ (also called complement of set A) contains all the elements in the universal set which are not there in set A.

i.e., ${\text{A’}} = {\text{U}} - {\text{A}} = \left\{ {1,2,3,4,5,6,7,8,9} \right\} - \left\{ {1,2,3,4} \right\} = \left\{ {5,6,7,8,9} \right\}$

Hence proved that set ${\text{A’}} = \left\{ {5,6,7,8,9} \right\}$.

Note- In these types of problems, the complement of any set can be easily computed by subtracting all the elements in the set whose complement is required from the elements of the universal set. Also, here the sets B and C are given which are not even used to get the answer.

Given, Universal set as ${\text{U}} = \left\{ {1,2,3,4,5,6,7,8,9} \right\}$

Sets ${\text{A}} = \left\{ {1,2,3,4} \right\}$, ${\text{B}} = \left\{ {2,4,6,8} \right\}$,${\text{C}} = \left\{ {3,4,5,6} \right\}$

To prove: Set ${\text{A'}} = \left\{ {5,6,7,8,9} \right\}$

As we know that set A’ (also called complement of set A) contains all the elements in the universal set which are not there in set A.

i.e., ${\text{A’}} = {\text{U}} - {\text{A}} = \left\{ {1,2,3,4,5,6,7,8,9} \right\} - \left\{ {1,2,3,4} \right\} = \left\{ {5,6,7,8,9} \right\}$

Hence proved that set ${\text{A’}} = \left\{ {5,6,7,8,9} \right\}$.

Note- In these types of problems, the complement of any set can be easily computed by subtracting all the elements in the set whose complement is required from the elements of the universal set. Also, here the sets B and C are given which are not even used to get the answer.

Recently Updated Pages

What number is 20 of 400 class 8 maths CBSE

Which one of the following numbers is completely divisible class 8 maths CBSE

What number is 78 of 50 A 32 B 35 C 36 D 39 E 41 class 8 maths CBSE

How many integers are there between 10 and 2 and how class 8 maths CBSE

The 3 is what percent of 12 class 8 maths CBSE

Find the circumference of the circle having radius class 8 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

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

List some examples of Rabi and Kharif crops class 8 biology CBSE

Which are the Top 10 Largest Countries of the World?

The provincial president of the constituent assembly class 11 social science CBSE

Write the 6 fundamental rights of India and explain in detail