Advertisements
Advertisements
प्रश्न
State the following sets are finite or infinite:
B = {x : x ∈ W and 5x -3 ≤ 20}
उत्तर
B = {x : x ∈ W and 5x -3 ≤ 20}
5x - 3 ≤ 20
⇒ 5x -3+3 ≤ 20+ 3 (Adding 3 to both sides)
⇒ 5x ≤ 20+ 3
⇒ 5x ≤ 23
⇒ x ≤ `(23)/(5)`
(Dividing both sides by 5)
⇒ x ≤ 4.6
∴ B = {0, 1, 2, 3, 4}
∴ It is a finite set.
APPEARS IN
संबंधित प्रश्न
Find, if the following sets are empty:
D = {prime numbers between 7 & 11}
State, if the following pair of a set is equal or not:
A = {x : x ∈ N, x < 3} and B = {y : y2 - 3y + 2 = 0}
State if the following set is a finite set or an infinite set:
The set of whole numbers less than 12.
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.
S = The set of all leap years between 1882 and 1906.
Identify the following set as finite or infinite
B = {x : x² – 5x + 6 = 0, x ∈ N}
If S = {square, rectangle, circle, rhombus, triangle}. List the elements of the following subset of S
The set of shapes which have 4 equal sides
Find the number of subsets and the number of proper subsets of the following set
W = {red, blue, yellow}
If n(A) = 4, find n[P(A)]
If n[P(A)] = 256, find n(A)
