MA 113 1

MA 113 .

A = { 1, 3, 5, 7, 9, 11, 13. 15 )

B = 1 2, 4, 5, 8, 13 }

C = (3’ 7, 11 }

a:ldi AUF3 = ( 1, 2, 3, 4, 5, 7, 8, 9, 11, 13, 15 )

AUC = { 1, 3, 5, 7, 9, 11, 13, 15 } = A

A U A = ( 1, 3, 5, 7, 9, 11, 13, 15 } = A

&Sam dl C t%&~mmIaJ A tth A U C = A

ihJllJ 1.1.4 : fil ,4 ttRf B th4tWibl 1 hTI~itTW8U (intersection) WIJ A Ltt?: B

4mdimttnuhu A n B iiat~miamu?ihB~a$u A ttfc B iida

AnB =(xIxeALLRZ XEB}

Dtojoch 1 . 1 . 2 iin$aaii~ 1.1.1 xI6

AnH = { 5, 13)

BnC = @ twa1z B tt61: C b%=fui~ni~u~utauAnC = { 3, 7, 11 } = cA.n A = { 1, 3, 5, 7, 9, 11, 13, 15 ) = A

&tihw 81 C rOui=bt7mia;l A ttib A n c = c

rim 1.1.5 : fil ui iiWLidJt~lfi7fiJ+kXt4l LtR:: A t%iUf?WE’ilY~J lJ +lW’4btW~

(complement) WJJ A ~Jil::L?lOuttWu6Xl A’ bat’Tf@llEIJWdftdJa~~U U Ltm%hI$u‘..

A uuola

MA 113

MA 113

66lJ¶JihEl 1.1

,. I%t A = { 1.2.3.4.5.6 } sJ~;j,l,,,ilConal%J~ar~dRsles4olin

1.1 ZGA 1.2 { 2j 6 A

1.3 ~2 P A 1.4 AcA

1 . 5 @ ‘ A 1.6 ( 2, 4, 6 ) - A

q-7 A = ‘( 3,5,1,2,6,4 )

1.8 A=‘jnE 1 ( ” hni1 7 ]

1.9 A = I( IL 1 n &~fdl 7 1

1.10 !x 1 x E I UWZ 3x2 + 5x - 2 = 0 } c A

l.!l {x 1 x E 1 Ul3: x’ = 5 C A\

2 . a$ 1-J = { 7.2 ,.r... 10 \ LEE ,q = (1.2,3,4,5), B = ( 1,2,3.7.8}, C = (2.4,5,6) a-Ml

2 . 1 A”R 2.2 A u 0 2.3 B n C

2.4 A iJ C 2.5 A’ 2.6 A - C

2.7 lA:,B)’ 2.8 A’QB’ 2.9 (AnB)’

2.10 A’vli

3 . I$ A = (1,2,3,5,8.9 ) sJaianllaJ~ul”a^~~,~~~~~~~~~

3.1 { x ( y l%mlJpi )

3.2 { x 1 x dULtW$ )

3.3 { x 1 x wlna’-l 4 }

MA 113 5

1 2 xIJu~luawoiJ

’ System of Real Numbers

.6 MA113

MA 113 7

8’ M A 1 1 3

;ll 1.2.1

MA 113 9

d b, 2

1 0

a *1 2

MA 113

MA113 1 1

IXYI = 1x1 IYI

$li IxyI=d--=dq- = @@ = 1x1 JyJ

Caixh 1.2.10 t?i x = 4, y = -3 xvi

IXYI = (4 (-3)1 = j-121 = 12

1 2 MA 113,,

M A 1 1 3 13

14 MA 113

I. ~~~"iiotln5i~*19109acb~n~o~~~~u~~yuQ7u~ua~~

1.1 {XI l<x<5} 1.2 { x 1 -4 < x ( -1 }

1.3 (xl :x,4} 1.4 {XI x5-$}

1.5 (-5. 3) 1.6 [2, 8]

1.7 (.a, 4) 1.8 (-2, 51

2. ?JdMl

2.1 (2, 6) 'J [5, 71 2.2 (3, 7) n [2, 51

2.3 (5, = ) U (3, a) 2.4 (-5, (TJ ) n (3, 30)I

D4. i)9YIlaln~~sowunl4m'~'~llGwa"osJ~9a~otans,~115-noEl

4.1 x+3>5 4.2 i- 2x ( ;

4.3 $x - $) > $x + 5 4.4 2x+ 2< 5- 5x

4.5 -7<4- xc -2 4.6 2c 5-3x< 11

4.7 13,2x-3,5 4.6 [x+4/<7

4.9 12x - 5/<3 4.10 /3x - 41'2

4.11 12x - 51> 3 4.12 I 6 2x I 2 7

4.13 Ix + 4(<12x - 61 4.14 13 + 2x1< 14 XI

4.15 /3x1> 16 3x1 4.16 ) 9 2x 12 1 4x 1

5. P~~lFilwl~x %swn~~~as~~~8ln,%iorpl%

5.1 14x + 71 = 7 5.2 1 3x - 8 1 = 4

5.3 15 2x] = 11 5.4 ) 4 +3x1 : 1

5.5 15x 3 1 = 13x + 5 1 5.6 1 x 21 = 13 2x1

5.7 17x I= 4 x 5.8 2x+3 = 14x + 51

5.9 x2 + 5x + 3 = 0 5.10 4x2 4x + 1 = 0

5.11 2x2 6x + 1 = 0 5.12 -3y2 - 3y + 2 = 0

6. 81 a L b asP;iqot% a + c C b + c k0" a c < b c ah c eJThuaus4&i "I

,&IA113 15

16 MA 11g

1 3 ‘mnJ~n'Ria1n LLtlZ ns1d

’ Rectangular Coordinate System and Graphs

M A 1 1 3 17

4Y

(.4. 5 )(0. 5)

0 l b x

(-8. .6) (9, .7)

1 8

tI

t

.lvlfi 113 19

x -4 - 3 -2 1 0 1 2 3 4

v 1 3 1 2 3 4 5 6 7

2 0 MA 113

t( J. 2)

I

(3. -2)

MA 113 21

22 MA113

4 Y

4YAh, VI eixe y, tII ,A(-2. 3) O[S. 3)

I

pl 1 3 . 1 0

ii1 c WO?fl ( x . yl) LLA” D !a?$~ ( X , Y2) 5XnwJln c 6 D @?a

l’=i = lye-Y,1hsromlJslng~ c (3, -1) dJ?n D (3, 4) 40 1CD ( = 1 4 t-1) 1 = 1 4 + 1 1 =5 6JSLl 1.3.11

MA 113 23

Iyl 1 .3 .14

24 MA 113

MA113 25

(x2 + ax +$) + (y2 + by +$) =2 b'$+7 -c

(x + 5," +

26 M A 1 1 3

lwh i - 2 0 aJt~oUn579”iunJ~uniT6~~~~~

1. y = 3x+1 2. i: x2.2 3. =TxY y

4. y = -j-F-3 5. y2 = x-3 6. = 5y

7. x = -3 8. x = Z+ 1 9. = (3x+21y y

10. y = -1x+21 11. = Ix/- 5 12. = -1x1 * 2y y

13. xy = 4 14. xzy = 4 15. = x3y

16. y = (x - :q3 17. y = (x + 3)" 18. y = -x3

19. x2 + ' = 16 20. 4x2 + 4y2 = 1y

ainfk~ 2 1 - 2 6 aJl~eruna,~~osn8Jnls~s~,8lrnul~r~n~ x ~m~m.4 Giu-~n’wy

21. (a) y =4% (b) y = -I’?? (c) y2 = 2x

22. (a) y =V%i (b) y = -G (c) y2 = -2x

23. (a) y =G (b) y = -47 (c) x2 + y2 = 4

24. (a) y =dZ- ( b ) y = -m (c) x2 + y2 = 25

25. ( a ) x + 3y = 0 (b) x 3y = o (c) x2 - 9y2 = 0

26. (a) 2x - 5y = 0 (b) 2x + 5y = 0 (c) 4x2 - 25y2 = 0

2:. (a) 39L~WWBI'T119ll~~L~QU x

(b) 89b*ij~~i9~n15'11a3'~~1ll~ y

26. (a) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 4

(b) ssaeuuasjnisvDsnsI~%sg~jlP)nam~a~Elun4l~~aDiA~ec~Ivii~~ -3

s1n~o 29 3 2 asv\ls-n-wlss-w-dls?~a~.~?~~~l~~~~~

29.

31.

33.

34.

35.

66lJlJih-k 1.3

MA 113 2 7

x

38.

39.

40.

41.

42.

43.

44.

45.

28. MA 113

-7

Y

//1/1111/L

p2rx2. !?*)I

P,bY,j

y-y,

/L-y2 ,; - - -1 wx, y,t

D x id 1.4.2

MA 113 29

Y

PI (6 .Y,)l--ibY

P,h,.Y,) P,iX,.Y,l

p,w, YJ .- ;x DY0 0

-1 5m, =

4 - 7-l)-Lx5

MA 113