Advertisements
Advertisements
Question
State, if the following pair of a set is equal or not :
A = {2, 4, 6, 8} and B = {2n : n ∈ N and n < 5}
Solution
A = {2, 4, 6, 8} and
B = {2n : n ∈ N and n < 5}
When n = 1, 2n = 2 x 1= 2
When n = 2, 2n = 2 x 2= 4
When n = 3, 2n = 2 x 3= 6
When n = 4, 2n = 2 x 4= 8
∴ B = {2, 4, 6, 8}
Now we see that elements of sets A and B are the same (identical)
∴ Sets A and B are equal.
APPEARS IN
RELATED QUESTIONS
P = {1, 2, ........., 10}, What type of set P is?
Find, if the following sets are singleton sets:
B = {y : 2y + 1 < 3 and y ∈ W}
Are the sets A = {b, c, d, e} and B = {x : x is a letter in the word ‘MASTER’} joint?
State, if the following pair of a set is equivalent or not:
Set of whole numbers and set of multiples of 3.
Find the cardinal number of the following set.
P = {x : x = 3n + 2, n ∈ W and x < 15}
Find the cardinal number of the following set.
Q = `{y : y = 4/(3"n"), "n" ∈ "N" and 2 < "n" ≤ 5}`
Find the cardinal number of the following set.
S = The set of all leap years between 1882 and 1906.
Identify the following set as finite or infinite
A = {x : x ∈ Z and x < 5}
If n(A) = 4, find n[P(A)]
If B – A is B, then A ∩ B is
