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# 化妝品應用與管理科 - 數學 (3) - PowerPoint PPT Presentation

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## 化妝品應用與管理科 - 數學 (3)

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• 集合的類型
• 集合的運算
• Q&A

• 宇集合 ( U )

15人

20人

U ={ }

• 子集合
• B⊂A (B包含於A)

A

2號 3號

4號

B

1號 5號

(B為A的子集合)

A

2號 3號

4號

1號 5號

B

• 補集合

AC

A

15人

20人

U ={ }

AC

A

U ={ }

### 集合的運算

• 交集

A∩B =

• 交集

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

B={2,3,4}

A

B

2,3,4

A∩B

={ }

• 聯集

• 聯集

A∪B

• 聯集

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

B={2,3,4}

A

B

1,2,3,4,5

A ∪ B

={ }

• 差集

A

B

A-B

• 差集

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

B={2,3,4,6}

A

B

1,5

A-B

={ }

6

B -A

={ }

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

B={2,3,4,6}

A

B

n(A)

= 5

n(B)

= 4

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

B={2,3,4}

A

1,2,3,4,5

A ∪ B

={ }

n(A∪ B) =

n(A)+ n(B)- n(A∩B)

n(A)=

35

n(B)=

28

n(A∩B)=20

n(Ac)=

15

n(Bc)=

22

n(U )=50

1.

A - (A∩B) = 35-20=15

2.

- (A∩B)

B

= 28-20=8

3.

n(U ) -

A ∪ B

=7

A ∪ B =

n(A)+n(B)- (A∩B)

U ={x│-1 ≦ x < 7}

U

7

-1

A

5

-1

B

3

6

Ac=

{5 < x < 7}

1. A∩B =

{3 < x ≦5}

2. A∪B =

{-1 ≦x ≦6}

3. B- A =

{5< x ≦6}

4. Ac- B =

{6< x < 7}

A

0

-4

B

0

4

1.A∪B =

{x│-4 ≦x ≦4}

2. A∩B =

∅ 或{}