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Byju's Answer

Standard XII

Mathematics

Complement

Given that th...

Question

Given that the universal set, $ξ =$ {x : 1 < x < 12 and x is an integer} and the sets P = {x : x is a prime number}, Q = {x : x is a multiple of 4} and R = {2, 3, 8, 9} the elements of the set $(Q \cup R)^{'} \cap P$ are:

{2, 3}

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{2, 3, 5}

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{5, 7, 11}

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{1, 5, 7, 11}

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Solution

The correct option is C {5, 7, 11}
$Q = {4, 8};$ $P = {2, 3, 5, 7, 11}$ ;

$Q \cup R = {2.3.4.8.9}$

$(Q \cup R)^{'} = {5, 6, 7, 10, 11}$

$(Q \cup R)^{'} \cap P = {5, 7, 11}$

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Similar questions

Q. Given that the universal set,

ξ = {x : 1 \leq x \leq 12 and x is an integer}

and the sets

P = {x : x is a prime number}, Q = {x : x is a multiple of 4}

and

R = {2, 3, 8, 9}

the elements of the set

(Q \cup R)^{'} \cap P

are

Q. Given that set

A =

{

x : x

is aninteger that is divisible by

3, 1 \leq x \leq 10

} and

B =

{

x / x

is an even integer,

1 \leq x \leq 10

}. If the universal set for

A

and

B

μ

where n

(μ) = 9

, which of
the following could be that set

μ

μ_{1} = {1, 2, 3, 4, 5, 6, 7, 8, 9}

μ_{2} = {2, 3, 4, 5, 6, 7, 8, 9, 10}

μ_{3} = {1, 2, 3, 4, 5, 7, 8, 9, 10}

Enter

n

for

μ_{n}

Q. Let the universal set,

ξ

= {

x : 1 \leq x \leq 15

and x is an integer} set H = {x : x is a multiple of 3} and set K = {x : x is an even number}. Find

n (H^{'} \cap K)

Q. From the following pairs, find the pairs of like terms.

(1) 7y, 2y
(2) 5ab, 9ba
(3) pq², 2p²q
(4) 5pq, 5py
(5) 4x²yz, 8xy²z
(6) 11ax², 10x²a
(7) 3pqr, 4p²qr

(a) Subtract 4a − 7ab + 3b + 12 from 12a − 9ab + 5b − 3

(b) Subtract 3xy + 5yz − 7zx from 5xy − 2yz − 2zx + 10xyz

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Given that the universal set,ξ= {x : 1 < x < 12 and x is an integer} and the sets P = {x : x is a prime number}, Q = {x : x is a multiple of 4} and R = {2, 3, 8, 9} the elements of the set (Q∪R)′∩P are:

The correct option is C {5, 7, 11}Q={4,8}; P={2,3,5,7,11}; Q∪R={2.3.4.8.9}(Q∪R)′={5,6,7,10,11}(Q∪R)′∩P={5,7,11}

Given that the universal set, $ξ =$ {x : 1 < x < 12 and x is an integer} and the sets P = {x : x is a prime number}, Q = {x : x is a multiple of 4} and R = {2, 3, 8, 9} the elements of the set $(Q \cup R)^{'} \cap P$ are:

The correct option is C {5, 7, 11}
$Q = {4, 8};$ $P = {2, 3, 5, 7, 11}$ ;

$Q \cup R = {2.3.4.8.9}$

$(Q \cup R)^{'} = {5, 6, 7, 10, 11}$

$(Q \cup R)^{'} \cap P = {5, 7, 11}$