CHAPTER4: OPERATIONS ON SETS(4.3)

Chapter 4:
Operations on Sets

4.3 Combined operations on sets

4.3 COMBINED
OPERATIONS ON SETS

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Prior Knowledge

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Prior Knowledge

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4.3.1
Determine & describe

the combined
operations

on sets

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Determine and describe the combined operations
on sets using various representations.

Solution : 6
(a) P = { 2,3,6,7 }

(Q U R) = { 1,3,4,5,8,9,10 }

P ∩ (Q U R) = { 3 }

(b) Q = { 1,3,8,9 }
(P U R) = { 2,3,4,5,6,7,8,10 }

Q ∩ (P U R) = { 3, 8 }

(c) (Q ∩ R) = { 8 }

P = { 2,3,6,7 }
(Q ∩ R) U P = { 2,3,6,7,8 }

Determine and describe the combined operations
on sets using various representations.

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Determine and describe the combined operations
on sets using various representations.

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4.3.2
Determine the
complement of
combined operations

on sets

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Determine the COMPLEMENT OF combined 10
operations on sets

ξ = {30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40}
A = {30, 33, 36, 39}
B = {30, 32, 34, 36, 38}
C = {30, 32, 35, 39, 40}
List all the elements of the following sets:
(i) (A U B)' ∩ C (ii) A' ∩ (B U C) (iii) (A ∩ C)' U (B ∩ C)

Solution:

(i) (A U B)' = { 31, 35, 37, 40 }
C = { 30, 32, 35, 39 40 }
(A U B)' ∩ C = { 35, 40 }

(ii) A' = { 31, 32, 34, 35, 37, 38, 40 }
(B U C) = { 30, 32, 34, 35, 36, 38, 39, 40 }
A' ∩ (B U C) = { 32, 34, 35, 38, 40 }

(iii) (A ∩ C)' = { 31, 32, 33, 34, 35, 36, 37, 38, 40 }
(B ∩ C) = { 30, 32 }
(A ∩ C)' U (B ∩ C) = { 30, 31, 32, 33, 34, 35, 36, 37, 38, 40 }

Determine the COMPLEMENT OF combined
operations on sets

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Determine the COMPLEMENT OF combined
operations on sets

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Determine the COMPLEMENT OF combined
operations on sets

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Solving problem
involving Combined
operations on sets

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Solving problem :

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review :

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Test yourself

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