Advertisements
Advertisements
Question
M = {x : x is a natural number between 0 and 8) and N = {x : x is a natural number from 5 to 10}. Find: M – N and n(M – N)
Solution
Set M: Natural numbers between 0 and 8 (excluding 0, as natural numbers start from 1):
M = {1, 2, 3, 4, 5, 6, 7, 8}.
Set N: Natural numbers from 5 to 10:
N = {5, 6, 7, 8, 9, 10}.
The set difference M − N is defined as the elements of M that are not in N
Elements of M: {1, 2, 3, 4, 5, 6, 7, 8}.
Remove elements that are also in N: {5, 6, 7, 8}.
M − N = {1, 2, 3, 4}.
The number of elements in M − N is the count of elements in {1, 2, 3, 4}
n(M − N) = 4
- M − N = {1, 2, 3, 4}
- n(M − N) = 4
APPEARS IN
RELATED QUESTIONS
Write the cardinal number of the following set:
A = Set of days in a leap year.
Write the cardinal number of the following set:
D = Set of letters in the word “PANIPAT”.
The set, given below, state whether it is finite set, infinite set or the null set:
A = {x : x is an integer between 1 and 2}
The set, given below, state whether it is finite set, infinite set or the null set:
Set of mountains in the world.
The set, given below, state whether it is finite set, infinite set or the null set:
{coins used in India}
The set, given below, state whether it is finite set, infinite set or the null set:
C = {x | x is a prime number between 7 and 10}
Fill in the blank:
If A is a proper subset of B, then n (A) _____ n (B).
If A = {x: x is natural number divisible by 2 and x< 16} and
B = {x:x is a whole number divisible by 3 and x < 18}, find: n(B).
If A = {x: x is natural number divisible by 2 and x< 16} and
B = {x:x is a whole number divisible by 3 and x < 18}, find: n(A – B)
Let A and B be two sets such that n(A) = 45, n(B) = 38 and n(A ∪B) = 70, find: n (A ∩ B).
