Given A - x-x -N-and-3 - x -6 and B - x-x -W-and-x - 4 - Find - i Sets A and B in roster form ii A - B iii A - B iv A - B v B - A

(i) A = (4, 5, 6) B = (0, 1, 2, 3) (ii) A ∪ B= { 0,1,2,3,4,5,6 } (iii) A ∩ B =ϕ (iv)A B = (4, 5, 6) (v) B A = (0, 1, 2, 3) ...

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Byju's Answer

Standard VIII

Mathematics

Roster Form

Given A = x:x...

Question

Given A = ${x : x \in N a n d 3 < x \leq 6}$ and B = ${x : x \in W a n d x < 4}$ . Find : (i) Sets A and B in roster form (ii) $A \cup B$ (iii) $A \cap B$ (iv) A - B (v) B - A

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Solution

(i) A = (4, 5, 6) B = (0, 1, 2, 3) (ii) $A \cup B$ = ${0, 1, 2, 3, 4, 5, 6}$ (iii) $A \cap B$ = $ϕ$ (iv)A - B = (4, 5, 6) (v) B - A = (0, 1, 2, 3)

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Similar questions

Q. Given

A = {x : x \in N

and

3 < x \leq 6}

and

B = {x : x \in W

and

x < 4}

. Find the sets

A

and

B

in roster form also find

A \cup B

and

A \cap B

Q. Given A = {

x

x \in N

and

3 < x \leq 6

} and B = {

x

x \in W

and

x < 4

}, then find : sets

A

and

B

in roster form.

Q. Find

A \cup B

and

A \cap B

for the following sets.
(i)

A = {0, 1, 2, 4, 6}

and

B = {- 3, - 1, 0, 2, 4, 5}

(ii)

A = {2, 4, 6, 8}

and

B = \emptyset

(iii)

A = {x : x \in N, x \leq 5}

and

B =

{

x : x

is a prime number less than 11}
(iv)

A = {x : x \in N, 2 < x \leq 7}

and

B = {x : x \in W, 0 \leq x \leq 6}

Q. Write the following sets in Roster form
(i)

A = {x : x \in N, 2 < X \leq 10}

(ii)

B = {x : x \in Z, - \frac{1}{2} < X < \frac{11}{2}}

(iii)

C =

{

x : x

is a prime number and a divisor of 6 }
(iv)

X =

{

x : x = 2^{n}, n \in N

and

n \leq 5

}
(v)

M = {x : x = 2 y - 1, y \leq 5, y \in W}

(vi)

P =

{

x : x

is an integer,

x^{2} \leq 16

}

Q. Find the intersection of each pair of sets:
(i) X={

1, 3, 5

} Y={

1, 2, 3

}
(ii) A={

a, e, i, o, u

} B={

a, b, c

}
(iii) A={

x : x

is a natural number and multiple of

3

}
B={

x : x

is a natural number less than

6

}
(iv) A={x:x is a natural number and

1 < x \leq 6

}
B={x:x is a natural number and 6 < x < 10}
(v) A={1,2,3},

B = ϕ

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Given A = {x:x ∈ N and 3 < x≤ 6} and B ={x:x ∈ W and x < 4}. Find : (i) Sets A and B in roster form (ii) A∪B (iii) A∩B (iv) A - B (v) B - A

(i) A = (4, 5, 6) B = (0, 1, 2, 3) (ii) A∪B= {0,1,2,3,4,5,6} (iii) A∩B =ϕ (iv)A - B = (4, 5, 6) (v) B - A = (0, 1, 2, 3)

Given A = ${x : x \in N a n d 3 < x \leq 6}$ and B = ${x : x \in W a n d x < 4}$ . Find : (i) Sets A and B in roster form (ii) $A \cup B$ (iii) $A \cap B$ (iv) A - B (v) B - A

(i) A = (4, 5, 6) B = (0, 1, 2, 3) (ii) $A \cup B$ = ${0, 1, 2, 3, 4, 5, 6}$ (iii) $A \cap B$ = $ϕ$ (iv)A - B = (4, 5, 6) (v) B - A = (0, 1, 2, 3)