Question

Let $A=\left\{1,2,3,4\right\}$ $,$ $B=\left\{a,b,c,d\right\}$ and $C=\left\{x:x<5,x\in N\right\}$ . State which of the following is true and which is false$.$

$A=C$

• A. True
• B. False

Answer 1

The correct option is A True

The given sets are $A=\left\{1,2,3,4\right\}$

$B=\left\{a,b,c,d\right\}$ and $C=\left\{x:x<5,x\in N\right\}$

$C=\left\{x:x<5,x\in N\right\}$ in Roster form can be defined as follows

In the set $C$ elements are natural number and less than $5$

$C=\left\{1,2,3,4\right\}$

Number of elements in the given sets $A,B$ and $C$ are given below

$n\left(A\right)=4,n\left(B\right)=4,n\left(C\right)=4$

Two or more than two sets are said to be equal sets iff number of elements are same as well as elements are same irrespective of the order.

Two equal sets are denoted by $\text{'}=\text{'}$symbol

Set $A$ and $C$ have same numerical elements $1,2,3,4$

Number of elements in sets $A$ and $C$ are of the same type$.$

Hence$,$ the given statement $A=C$ is true$.$