Advertisements
Advertisements
प्रश्न
Which of the following statements are true? Give reason to support your answer.
Every subset of a finite set is finite
Advertisements
उत्तर
\[ \text{ True } \]
\[\text{ Every subset of a finite set is a finite set } .\]
APPEARS IN
संबंधित प्रश्न
Identify whether the following set is finite or infinite.
{1, 2, 3, ...}
Identify whether the following set is finite or infinite.
{1, 2, 3, ... 99, 100}
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 circles passing through the origin (0, 0).
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 sets are finite and which are infinite?
{x ∈ R : 0 < x < 1}.
Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either \[A \subseteq B o\text{ or } B \subseteq A;\]
Which of the following statements are true? Give reason to support your answer.
Every subset of an infinite set is infinite
State whether the following statements are true or false:
\[a \subset {b, c, a}\]
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:
\[\left\{ a, b \right\} = \left\{ a, a, b, b, a \right\}\]
State whether the following statements are true or false:
The set {x ; x + 8 = 8} is the null set.
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 statement are true? Justify your answer.
The set of all crows is contained in the set of all birds.
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?\[\left\{ 2 \left\{ 1 \right\} \right\} \not\subset A\]
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:
If A is a finite set containing n element, then number of subsets of A is ______.
