Q. 15.0( 1 Vote )

# Find A ∪ B and A ∩ 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 = Φiii. and B = {x : x is a prime number less than 11}iv. and

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

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

A B = {-3, -1, 0, 1, 2, 4, 5, 6} [elements that are present in either A or B]

A B = {0, 2, 4} [elements that are present in both A and B]

ii. A = {2, 4, 6, 8} and B = Φ

A B = {2, 4, 6, 8} [elements that are present in either A or B]

A B = Φ [elements that are present in both A and B]

iii. A = {x : x N, x ≤ 5}

A contains the Natural numbers that are less than or equal to 5.

A = {1, 2, 3, 4, 5}

B = {x : x is a prime number less than 11}

Prime numbers less than 11 are : 2, 3, 5, 7

B = {2, 3, 5, 7}

A B = {1, 2, 3, 4, 5, 7} [elements that are present in either A or B]

A B = {2, 3, 5} [elements that are present in both A and B]

iv. A = {x : x N, 2 < x ≤ 7}

A contains the Natural numbers that are greater than 2 and less than equal to 7

A = {3, 4, 5, 6, 7}

B = {x : x W, 0≤ x ≤ 6}

B contains the whole numbers that are greater than or equal to 0 and less than or equal to 6.

B = {0, 1, 2, 3, 4, 5, 6}

A B = {0, 1, 2, 3, 4, 5, 6, 7} [elements that are present in either A or B]

A B = {3, 4, 5, 6} [elements that are present in both A and B]

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