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Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space: {x : x is a triangle in a plane} _____ {x : x is a rectangle in the plane}

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प्रश्न

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is a triangle in a plane} _____ {x : x is a rectangle in the plane}

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उत्तर

{x : x is a triangle in a plane} {x : x is a rectangle in the plane}

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अध्याय 1: Sets - EXERCISE 1.3 [पृष्ठ १२]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 1 Sets
EXERCISE 1.3 | Q 1. (v) | पृष्ठ १२

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संबंधित प्रश्न

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{2, 3, 4} _____ {1, 2, 3, 4, 5}


{1, 2, 3} ⊂ {1, 3, 5}


{a} ⊂ {a. b, c}


{a} ∈ (a, b, c)


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{3, 4} ⊂ A


How many elements has P(A), if A = Φ?


Write the following as interval:

{x : x ∈ R, – 4 < x ≤ 6}


Write the following as intervals: {x : x ∈ R, 0 ≤ x < 7}


Write the following as intervals: {x : x ∈ R, 3 ≤ x ≤ 4}


Decide, among the following sets, which sets are subsets of one and another:

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Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If A ⊂ B and B ∈ C, then A ∈ C


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If x ∈ A and A ⊄ B, then x ∈ B


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If A ⊂ B and x ∉ B, then x ∉ A


Write the number of elements in the power set of null set. 


Let A and B be two sets having 3 and 6 elements respectively. Write the minimum number of elements that \[A \cup B\] 


If A = {x ∈ C : x2 = 1} and B = {x ∈ C : x4 = 1}, then write A − B and B − A


Let A and B be two sets having 4 and 7 elements respectively. Then write the maximum number of elements that \[A \cup B\] can have. 


If A and B are two sets such that \[n \left( A \right) = 20, n \left( B \right) = 25\]\text{ and } \[n \left( A \cup B \right) = 40\], then write \[n \left( A \cap B \right)\] 


In set-builder method the null set is represented by


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{x : x is an even natural number} _____ {x : x is an integer}


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{{3, 4}} ⊂ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

1 ∈ A


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State True or False for the following statement.

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