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DESCRIPTION
เซตและการเขียนเซตTRANSCRIPT
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1) . . . . 100 2) A = { 1, 2, 3, 4, 5 } A . A = { x x } . A = { N xx 5x }
. A = { x x I 5x } . A = { x x I
+ 5x1 } 3) A = { a, b, c, d } . { a } A . { a, b, c, d } A . a A . a, b A 4) A = { xx 2 100 } n(A) . 50 . 49 . 48 . 47
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1. (X) 2. 15
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5) A = { xx 31 } B = { xx 100 } . 99 B . A . 29 B . A 6) A = { xx = 2n -3 n = 1, 2, 3, 4, 5 } A . A = { 1, 2, 3, 4, 5 } . A = { 1, 3, 5, 7, 9 } . A = { -1, 0, 1, 3, 5 } . A = { -1, 1, 3, 5, 7 } 7) a . { { a, b, c } } . { {a}, b, c } . { a, b, c } . { ab, {a}, {c} } 8) { 1, 4, , 169 } . { 131,2,3,...,y;2yxNx }
. { 141,2,3,...,y;2yxNx }
. { 169x;12yxNx }
. 0 169
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9) A asean A . { asean } . { a , s, e , n } . { a s e a n} . { aa, s, e, n } 10) D = { , 2 , 0 , 2 , } D . { xx }
. { x x I 2x2- } . { n2xx n } . { n2xx n }
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1.1
a, e, i, o u 9 1, 2, 3, 4, 5, 6, 7 8 (element members)
,
1. 2. 15
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A = { 1, 2, 3, 4 } 1 A A 1 A 3 A A 3 A 5 A A 5 A 7 A A 7 A
A 4 n(A) A
n(A) = 4
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I+ I+ = { 1, 2, 3, . } I- I- = { -1, -2, -3, . } I I = { 0,-1, 1, 2, -2, 3, -3, . } N N = { 1, 2, 3, . } P P = { 2, 3, 5, 7, 11, 13, .} R Q Q
19 ( Georg Cantor)
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A = A = { , , , } A A A A A A A A A A
1
B = 12 B = { 2, 4, 6, 8, 10 }
2 B 2 B 4 B 4 B 6 B 6 B 8 B 8 B 10 B 10 B 3 B 3 B 5 B 5 B
A A
2
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D = Thailand D = { a, i }
a D a D i D i D
C = C = { , , , }
C C C C C C C C
3
4
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1. A = { 1, 3, 5, 7 } 1 A 1 A .. A . A .. A . A .. A . A 2 A 2 A ... A A ... A A
2. B = B = {..., ..., ..., ... } .. B . B .
1.1
1
1. 2. 15
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3. C = 1 15 C = ............................. ........... ....................................................
4. D = student D = ................................. .... ...
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1. A 2 A 3 A 3.6 A 14 A
2. B 5 2 B 3.8 B 4 B 5 B
3. C -3 - 2 C -4 C 1 C -3 C
4. D 19 D -5 D
3 D 2
1 D
2
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5. E E E E E
6. F F F F F
7. G G G G G
8. H banbung a H e H u H b H
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3
1. A ..1) 2 A ..2) 17 A
..3) 7
22 A
..4) 4.5 A
..5) 5
5.3 A
2. B
50 100 5 ..1) 20 B ..2) 17 B ..3) 10 B ..4) 54.5 B ..5) 89 B
3. C = { 5, 7, {8,9} } ..1) 9 C ..2) 7 C ..3) 8 C ..4) 6 C ..5) {8,9} C
4. D = { 5, {7}, 9 } ..1) 3 D ..2) {7} D ..3) 7 D ..4) 9 D ..5) 5 D
9 D 9 D
3 D 3 D
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4 4.1 4.2 .
4.3 .
4.4 2 5 .
4.5 y 5y1 y .
4.6 4.7 4.8 . 4.9 2 5
4.10 20
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1. A = { 2, 4, 6, 8 } 2 A 2 A .. A . A .. A . A .. A . A 3 A 3 A ... A A ... A A
2. B = B = { ..., ..., ... } .. B . B
1.1
1
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3. C = 3 7 C = .................................... ............... .............................................................................
4. D = teacher D = ................................... ...... .................
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2 1. A 1.1 6 A 1.2 -15 A 1.3 13.2 A
1.4 15
50 A
1.5 200.0 A 2. B 2.1 a B 2.2 k B 2.3 m B 2.4 u B 2.5 o B
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3 ( )
.1. 7 .2. 2 .3. .4. 30 .5. 0 .6. .7. 20 .8. 12 .9. .10. E
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(,)
1.2
(Tabular From)
A 3 A
A = { a, b, c } A a, b c 7 { 1, 2, 3, 4, 5, 6 } 5 { , , , , }
2 10 { 2, 4, 6, 8, 10 } A, B, C a, b, c
1. 2. 15
1
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A A A A A A A A A A A A A A
A = { , , , , , , , , , , }
B 5 B B 5 1 B 1 < 5 2 B 2 < 5 3 B 3 < 5 4 B 4 < 5 5 B 5 5 B = { 1, 2, 3, 4, 5 }
2
3
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C 20 C C = { 1, 2, 3, , 19 }
( . . . )
{ 1, 2, 3, . . ., 10 } . . . 4, 5, 6, 7, 8 9
{ , , , . . ., }
. . .
D D D = { a, b, c, , z }
4
5
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E E E = { 1, 2, 3, }
F F F = { -1, -2, -3, }
( . . . ) A = { 1, 2, 3, } A B = { -1, -2, -3, } B
6
7
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(Builder Form)
{ xx } x x { xx } x x |
A = {2, 4, 6, 8, 10} A
A A = { xx 12}
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|
A = { 1, 3, 5, 7 } A
A A = { xx 9}
C 5 10 C
C C = { x x I 10x 5 }
D D
D D = { xx }
9
10
11
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1.2
1
1. 2. 15
2. = { , .., .., .., ., ., }
1. = { , , , }
3. =
4. = .
5. =
6. = ..
7. = .
8. = .
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10. -5 = .
9. 1 3 =
11. ( N ) ( I + ) =
12. 3 =
13. 5 =.
14. = .
15. asean =
16. mathematic = .
17. = ..
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18. = .
19. =
20. 9 =
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3
4. { 0 } =
6. { 2, 3, 5, 7,11, 13 } =
5. { 2, 4, 6, } =
3. { -1, -2, -3, } = ..
2. { 1, 2, 3 } = ....
1. { 1, 2, 3, 4, 5 } = . { xx I 1 x 5}
{ xx ..}
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7. { 7, 14, 21, , 98 } =
8. { 10, 11, 12, , 99 } = ..
9. { , -3, -2, -1, 0, 1, 2, 3, } = ..
10. { -1, 0, 1 } =
11. { - 1, - 2, - 3, - 4, - 5, - 6 } = ..
12. { - 5, - 3, - 2, 2, 3, 5 } = .
14. { 0, 2, 4, 6, 8, . . . , 100 } = .
13. { - 2, - 4, - 6, - 8, . . . } =
15. { - 3, - 2, - 1, 0, 1, 2, 3 } = .. =
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16. 3 7 = .
17 . 10 = ..
18. 10 30 6 =..
19. 4 = .
20. 3 = ..
. 2
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1.2
1
1.1 5
1.2
1.3 20
1.4 2 10
1.5 6
1.6
1.7
1.8
1.9
1.10 0 100
1.11
1.12 { xx 12 < x < 30 }
1.13 100
1.14 { xx x < 3 }
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2
2.1 A = { 2, 4, 6, 8, 10 }
2.2 B = { 1, 3, 5, . . . , 99 }
2.3 C = { 1, 2, 3, . . . }
2.4 D = { 1, 4, 9, 16, . . . }
2.5 E = { 2 , 4 , 6.100 }
2.6 F = { ,,, , , , }
2.7 G = { 1, 2, 3, .., 100 }
2.8 H = { 1, 3, 5, 7, 9, ,49 }
2.9 I = { -1, -2, -3, . }
2.10 J = { 2, 3, 5, 7, 11 }
2.11 K = { 6, 12, 18, 24, 30 }
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3
1. { xx }
. { 0, 1, 2, 3 }
2. { a, b, c, , z }
. { xx }
3. { 1, 3, 5, 7 }
. { 2, 4, 6, 8, 10 }
4. { N y yxx 2 }
. { xx 10}
5. { 5, 6, 7, 8 }
. { xx 9}
6. { xx I 3x0 }
. { 1, -1 }
7. { 2, 4, 6, 8, 10, }
. { xx I 9x4 }
8. { N xx 12 }
. { xx }
9. { 2, 5, 3, 7 }
. { 1, 4, 16, 25, }
10. { xx I 12 x }
. { 2, 4, 6, 8 }
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1) A = { xx 2 100 } n(A) . 50 . 49 . 48 . 47 2) . . . . 100 3) A = { 1, 2, 3, 4, 5 } A . A = { xx } . A = { N xx 5x }
. A = { x x I 5x } . A = { x x I
+ 5x1 } 4) A = { a, b, c, d } . { a } A . { a, b, c, d } A . a A . a, b A
1
1. (X) 2. 15
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5) a . { { a, b, c } } . { {a}, b, c } . { a, b, c } . { ab, {a}, {c} } 6) A = { xx 31 } B = { xx 100 } . 99 B . A . 29 B . A 7) { 1, 4, , 169 } . { 131,2,3,...,y;2yxNx }
. { 141,2,3,...,y;2yxNx }
. { 169x;12yxNx }
. 0 169 8) A = { xx = 2n -3 n = 1, 2, 3, 4, 5 } A . A = { 1, 2, 3, 4, 5 } . A = { 1, 3, 5, 7, 9 } . A = { -1, 0, 1, 3, 5 } . A = { -1, 1, 3, 5, 7 }
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9) D = { , 2 , 0 , 2 , } D
. { xx }
. { x x I 2x2- } . { n2xx n } . { n2xx n } 10) A asean A . { asean } . { a , s, e , n } . { a s e a n} . { aa, s, e, n }