Let U-1-2-3-4-5-6-7-8-9-10- A-1-2-5- B-6-7 then A - B- is

Explanation for the correct answer:Operation on set:B'=U–B={1,2,3,4,5,8,9,10}A∩ B'={1,2,5}∩{1,2,3,4,5,8,9,10}0ex0exA∩ B'={1,2,5}0ex0exA∩ B'=AHence, the correct ...

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Standard VI

Mathematics

Idea of a Set

Let U=1,2,3,4...

Question

Let $U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 5,}, B = {6, 7}$ then $A \cap B'$ is

$B'$

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$A$

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$A'$

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$B$

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Solution

The correct option is B
$A$

Explanation for the correct answer:
Operation on set:
$B' = U - B = {1, 2, 3, 4, 5, 8, 9, 10}$
$A \cap B' = {1, 2, 5} \cap {1, 2, 3, 4, 5, 8, 9, 10} A \cap B' = {1, 2, 5} A \cap B' = A$
Hence, the correct option is (B)

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Similar questions

Q. Let

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 2, 5}

B = {6, 7}

then

A \cap B^{'}

Q. Let

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

. If

A = {1, 2, 5}

and

B = {6, 7},

then

A \cap B^{'}

Q. Let

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

. If

A = {1, 2, 5}, B = {6, 7}

, then

A \cap B^{'}

Q. Let

B = {2, 4, 6, 8}

and

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

. Then find

B^{'}

Q. Let

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

and

B = {2, 3, 5, 7}

.
Find

A \cap B

and hence show that

A \cap B = B

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Let U={1,2,3,4,5,6,7,8,9,10},A={1,2,5,},B={6,7} then A∩B' is

The correct option is B AExplanation for the correct answer:Operation on set:B'=U–B={1,2,3,4,5,8,9,10}A∩B'={1,2,5}∩{1,2,3,4,5,8,9,10}A∩B'={1,2,5}A∩B'=AHence, the correct option is (B)

Let $U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 5,}, B = {6, 7}$ then $A \cap B'$ is

The correct option is B
$A$

Explanation for the correct answer:
Operation on set:
$B' = U - B = {1, 2, 3, 4, 5, 8, 9, 10}$
$A \cap B' = {1, 2, 5} \cap {1, 2, 3, 4, 5, 8, 9, 10} A \cap B' = {1, 2, 5} A \cap B' = A$
Hence, the correct option is (B)