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प्रश्न
Which of the following statemen are correct?
Write a correct form of each of the incorrect statement.
\[\left\{ a, b \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\]
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उत्तर
The correct forms of each of the incorrect statement are:
\[\left\{ b, c \right\} \in \left\{ a, \left\{ b, c \right\} \right\}\]
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संबंधित प्रश्न
Identify whether the following is set or not? Justify your answer.
The collection of all natural numbers less than 100.
Write the following set in roster form:
F = The set of all letters in the word BETTER
List all the elements of the following set:
B = `{x : x "is an integer", -1/2 < x < 9/2}`
If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space:
4 ...... A
If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space:
0 ...... A
Describe the following sets in set-builder form:
B={1,1/2 ,1/3, 1/4,1/5,...........};
Describe the following sets in set-builder form:
{5, 25, 125 625}
List all the elements of the following set:
\[C = \left\{ x: x \text{ is an integer }, - \frac{1}{2} < x < \frac{9}{2} \right\}\]
List all the elements of the following set:
D = {x : x is a vowel in the word "EQUATION"}
Match each of the sets on the left in the roster form with the same set on the right described in the set-builder form:
| (i) | {A, P, L, E} | (i) | x : x + 5 = 5, x ∈ Z |
| (ii) | {5, −5} | (ii) | {x : x is a prime natural number and a divisor of 10} |
| (iii) | {0} | (iii) | {x : x is a letter of the word "RAJASTHAN"} |
| (iv) | {1, 2, 5, 10,} | (iv) | {x: x is a natural number and divisor of 10} |
| (v) | {A, H, J, R, S, T, N} | (v) | x : x2 − 25 = 0 |
| (vi) | {2, 5} | (vi) | {x : x is a letter of the word "APPLE"} |
Which of the following statement are correct?
Write a correct form of each of the incorrect statements.
\[a \subset \left\{ a, b, c \right\}\]
Which of the following statement are correct?
Write a correct form of each of the incorrect statement.
\[\left\{ a \right\} \in \left\{ a, b, c \right\}\]
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\[\left\{ a, b, c \right\} \subset A\]
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\[\phi \in A\]
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\[1 \in A\]
Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false:
\[\left\{ 1, 2, 3 \right\} \subset A\]
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\[\phi \in A\]
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Write down all possible subsets of each of the following set:
{0, 1},
Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:
0 ____ A
Describe the following set in Set-Builder form
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Write down the following set in set-builder form
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Answer the following:
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Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n + 5 = 8
Write the following sets in the roaster from:
A = {x : x ∈ R, 2x + 11 = 15}
Write the following sets in the roaster from:
C = {x | x is a positive factor of a prime number p}
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Determine whether the following statement is true or false. Justify your answer.
For all sets A, B, and C, A – (B – C) = (A – B) – C
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Let S = set of points inside the square, T = the set of points inside the triangle and C = the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then ______.
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