Advertisements
Advertisements
प्रश्न
State whether the following set is finite or infinite:
The set of numbers which are multiple of 5.
Advertisements
उत्तर
The set of numbers that are multiples of 5 is an infinite set because multiples of 5 are infinite in number. Hence, it is an infinite set.
APPEARS IN
संबंधित प्रश्न
Identify whether the following set is finite or infinite.
The set of months of a year
Identify whether the following set is finite or infinite.
The set of positive integers greater than 100.
Identify whether the following set is finite or infinite.
The set of prime numbers less than 99.
State whether the following set is finite or infinite:
The set of lines which are parallel to the x-axis.
State whether the following set is finite or infinite:
The set of letters in the English alphabet.
State whether the following set is finite or infinite:
The set of animals living on the earth.
State whether the following set is finite or infinite:
The set of circles passing through the origin (0, 0).
Which of the following sets are finite and which are infinite?
Set of concentric circles in a plane
Which of the following sets are finite and which are infinite?
Set of letters of the English Alphabets
Which of the following sets are finite and which are infinite?
{x ∈ N : x > 5}
Which of the following sets are finite and which are infinite?
{x = ∈ N : x < 200}
Which of the following sets are finite and which are infinite?
{x ∈ Z : x < 5};
Which of the following statements are true? Give reason to support your answer.
{a, b, a, b, a, b, ...} is an infinite set
Which of the following statements are true? Give reason to support your answer.
{a, b, c} and {1, 2, 3} are equivalent sets
State whether the following statements are true or false:
\[\left\{ a \right\} \in \left\{ a, b, c \right\}\]
State whether the following statements are true or false:
\[\left\{ a, b \right\} = \left\{ a, a, b, b, a \right\}\]
Decide among the following sets, which are subsets of which:
\[A = {x : x \text{ satisfies } x^2 - 8x + 12 = 0},\]
\[B = \left\{ 2, 4, 6 \right\}, C = \left\{ 2, 4, 6, 8, . . . \right\}, D = \left\{ 6 \right\} .\]
Write which of the following statements are true? Justify your answer.
The set of all integers is contained in the set of all set of all rational numbers.
Write which of the following statement are true? Justify your answer.
The set of all rectangle is contained in the set of all squares.
Write which of the following statement are true? Justify your answer.
The set of all real numbers is contained in the set of all complex numbers.
Write which of the following statement are true? Justify your answer.
The sets P = {a} and B = {{a}} are equal.
Write which of the following statement are true? Justify your answer.
The sets A = {x : x is a letter of the word "LITTLE"} and,B = {x : x is a letter of the word "TITLE"} are equal.
Let A = {a, b, {c, d}, e}. Which of the following statement are false and why?
\[a \subset A\]
Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\] Which of the following are true? \[\left\{ 1 \right\} \in A\]
Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\]Which of the following are true?\[\left\{ 2 \left\{ 1 \right\} \right\} \not\subset A\]
Write down all possible subsets of each of the following set:
\[\left\{ \phi \right\}\]
Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then, the values of m and n are:
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively
If A and B are two finite sets, then n(A) + n(B) is equal to ______.
If A is a finite set containing n element, then number of subsets of A is ______.
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively ______.
