Question

Answer the Question


If you don't know , get lost

spam = 10 answer report​

Answer 1

..Question..

From given values , find the following :

i ) ( A ∪ B ) ∩ C

ii ) ( A - C ) ∩ B'

iii ) ( A - B )' ∪ C

iv ) ( A ∩ B ) ∪ C'

..Answer..

Given ,

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

ㅤ

ㅤ A = { x : x is an integer 1 ≤ x ≤ 6 }

ㅤㅤ•°• A = { 1 , 2 , 3 , 4 , 5 , 6 }

ㅤ B = { x : x is an even integer 4 ≤ x ≤ 9 }

ㅤㅤ•°• B = { 4 , 6 , 8 }

ㅤ C = { x : x is an integer 1 ≤ x² ≤ 16 }

ㅤㅤ•°• C = { 1 , 2 , 3 , 4 }

i} ( A ∪ B ) ∩ B'

➪ ( { 1, 2, 3, 4, 5, 6 } ∪ { 4, 6, 8 } ) ∩ { 1, 2, 3, 5, 7, 9, 10 }

➪ { 1, 2, 3, 4, 5, 6, 8 } ∩ { 1, 2, 3, 5, 7, 9, 10 }

➪ { 1 , 2 , 3 , 5 }

ii} ( A - C ) ∩ B'

➪ ( A ∩ C' ) ∩ B'

➪ ( { 1, 2, 3, 4, 5, 6 } ∩ { 5, 6, 7, 8, 9, 10 } ) ∩ { 1, 2, 3, 5, 7, 9, 10 }

➪ { 5 , 6 } ∩ { 1, 2, 3, 5, 7, 9, 10 }

➪ { 5 }

iii} ( A - B )' ∪ C

➪ ( A ∩ B' )' ∪ C

➪ A' ∪ B ∪ C

➪ { 7, 8, 9, 10 } ∪ { 4, 6, 8 } ∪ { 1, 2, 3, 4 }

➪ { 4, 6, 7, 8, 9, 10 } ∪ { 1, 2, 3, 4 }

➪ { 1, 2, 3, 4, 6, 7, 8, 9, 10 }

iv} ( A B ) ∪ C'

➪ ( { 1, 2, 3, 4, 5, 6 } { 4, 6, 8 } ) ∪ { 5, 6, 7, 8, 9, 10 }

➪ { 4, 6 } ∪ { 5, 6, 7, 8, 9, 10 }

➪ { 4, 5, 6, 7, 8, 9, 10 }

ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂

ㅤ

Answer 2

..Question..

From given values, find the following:

i) ( A U B ) n C

ii) ( A - C ) n B'

ii ) ( A - B )' U C

iv) ( A n B) U C

..Answer..

Given,

U = (1,2,3,4,5,6,7,8,9,10 )

A = {x : x is an integer 1 ≤ x ≤ 6}

•°• A = {1,2,3,4,5,6}

B = {x : x is an even integer 4 ≤ x ≤ 9 }

•°• B = {4,6,8}

C = { x : x is an integer 1 ≤ x ≤ 16 }

•°• C = {1,2,3,4}

i) (A U B) n C

➪ ({1, 2, 3, 4, 5, 6 } U { 4, 6, 8})n(1,2,3, 5, 7, 9, 10)

➪ { 1, 2, 3, 4, 5, 6, 8 } n {1, 2, 3, 5, 7, 9, 10 }

➪ (1,2,3,5}

ii) ( A - C ) n B'

➪ (A n C' ) n B'

➪({1, 2, 3, 4, 5, 6 } n {5, 6, 7, 8, 9, 10 }) n{1, 2, 3 , 5, 7, 9, 10 }

➪ {5,6} n {1, 2, 3, 5, 7, 9, 10}

➪ { 5 }

iii) ( A - B )' U C

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

➪ {4, 6, 7, 8, 9, 10 } U {1, 2, 3, 4}

➪ { 1, 2, 3, 4, 6, 7, 8, 9, 10 }

ㅤㅤㅤ꧁ ʏᴏᴜʀ×ɴᴀᴍᴇ ꧂

ㅤㅤ