Verify whether A = {20, 22, 23, 24} and B = {25, 30, 40, 45} are disjoint sets.

Open in App

Solution

A = {20, 22, 23, 24} and B = {25, 30, 40, 45}
A $\cap$ B = {20, 22, 23, 24} $\cap$ {25, 30, 40, 45}
A $\cap$ B = { }
Since A $\cap$ B = $ϕ$
A and B are disjoint sets.

Suggest Corrections

Similar questions

Let A = {10, 15, 20, 25, 30, 35, 40, 45 } 50 , B = { 1, 5,10,15, 20, 30} and C = { 1, 5,15, 20, 35, 45, }. Verify $A ∖ (B \cap C) = (A ∖ B) \cup (A ∖ C)$ .

Q. What is the mode for the data 20, 20, 20,21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 25 ?

Draw a histogram and the frequency polygon from the following data:
$\begin{matrix} Class interval & 20 - 25 & 25 - 30 & 30 - 35 & 35 - 40 & 40 - 45 & 45 - 50 Frequency & 30 & 24 & 52 & 28 & 46 & 100 \end{matrix}$

Q. The mode and median of the following data

21, 23, 25, 23, 21, 24, 22, 20, 23

respectively, are

Q. Two brands of tyre X,Y were tested with following result. If combined mean is

31.7

,
find

a

life(miles)	X	Y
$20 - 25$	$1$	$0$
$25 - 30$	$22$	$24$
$30 - 35$	$64$	$76$
$35 - 40$	$a$	$0$
$40 - 45$	$3$	$0$

Join BYJU'S Learning Program

Verify whether A = {20, 22, 23, 24} and B = {25, 30, 40, 45} are disjoint sets.

A = {20, 22, 23, 24} and B = {25, 30, 40, 45} A ∩ B = {20, 22, 23, 24} ∩ {25, 30, 40, 45} A ∩ B = { } Since A ∩ B = ϕ A and B are disjoint sets.

A = {20, 22, 23, 24} and B = {25, 30, 40, 45}
A $\cap$ B = {20, 22, 23, 24} $\cap$ {25, 30, 40, 45}
A $\cap$ B = { }
Since A $\cap$ B = $ϕ$
A and B are disjoint sets.