Q. 1 F4.2( 5 Votes )

# State in each case whether A ⊂ B or A ⊄ B.

A = {x : x is an integer}, B = {x: x is a rational number}

Answer :

A = {….-2, -1, 0, 1, 2, 3….}

B = {-∞, ……..0, ……∞ }

A ⊂ B as integers are contained in rational numbers.

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Write each of the following intervals in the set-builder from:

(i) A = (–2, 3)

(ii) B = [4, 10]

(iii) C = [–1, 8)

(iv) D = (4, 9]

(v) E = [–10, 0)

(vi) F = (0, 5]

RS Aggarwal - Mathematics

If A = {5} and B = {5, 6}, write down all possible subsets of A × B.

RS Aggarwal - MathematicsMark the correct alternative in the following:

If *R* is a relation from a finite set *A* having *m* elements to a finite set *B* having *n* elements, then the number of relations from *A* to *B* is

RD Sharma - Mathematics

Mark the correct alternative in the following:

Let *R* be a relation from a set *A* to a set *B*, then

RD Sharma - Mathematics

If A = {1} and B = {{1}, 2} then show that A ⊄ B.

Hint 1 ϵ A but 1⊄ B.

RS Aggarwal - Mathematics

Prove that A ⊆B, B⊆ C and C⊆ A ⇒A = C.

RS Aggarwal - MathematicsWrite down all subsets of each of the following sets:

(i) A = {A}

(ii) B = {a, b}

(iii) C = {–2, 3}

(iv) D = {–1, 0, 1}

(v) E =ϕ

(vi) F = {2, {3}}

(vii) G = {3, 4, {5, 6}}

RS Aggarwal - Mathematics

State in each case whether A ⊂ B or A ⊄ B.

A = {x : x is an integer}, B = {x: x is a rational number}

RS Aggarwal - Mathematics