10.x= aorx= b
11.b=pc^2 a^2
12.U=WVW V
13.r=√
A R^2
14.C=^59 (F 32 °)15.r=
3√(^34) V
16.x=a+ 4orx= 1
17.x= 2orx= 2
18.x=3,91
19.u=2,6
20.h= 16
- 6
Exercise 4 – 6:
- a)x < 1 andx6;x 2 R
b) 3 < x <6;x 2 R
c)x̸= 3;x̸= 6;x 2 R
d)x > 10;x 2 R
- a)( 34; 1 )
b)( 1; 5)
c) x 2
[ 29
13 ;^1)
.
d) x 2 ( 1;^65 ].
e)
(
1; ^5513
)
f)
(
1; ^2111
]
g)( 1; ^32 )[(^12 ; 1 )
h)
[
^53 ; ^12
]- a)^12345 b
b>1;b 2 Zb) ^1012345 aa>7;a 2 Nc) ^18 ^17 ^16 ^15 ^14 ^13 ^12 bb< 14;b 2 Rd)^56788910 aa>6;a 2 NExercise 4 – 7:
- a) 1
b) 1
c) 1
d) 8
e)^12
f)^1154
g) 2
h) 2
i) 10
j) ^83
k) 42
l) 5
m)^13 - a)b= 9 orb= 3
b)x= 1 orx= 6
c)b= 5 orb= 2
d)^97
e)x= ^15 orx= 3
f) 1
g) 32
h) 23
i)x= 2orx= 1
j)y= 3 ory= 2
k)x= ^92 orx= 2
l)d= 4
3.x= 1 andy= 1
4.there is no solution toxandy.
5.x= 1 andy= 3 - a)x= 1andy= 2
b)x= 4andy= 2
c)x= 5andy= 2
d)x= 6andy= 5
e)x= 6 andy= 4
f)x= 3andy= 6
g)x= 7 andy= 5
h)x= 14andy= 2
i)x= 8 andy= 5
j)x= 1andy= 1
k)x= 125 andy=^3112
l)x= ^3138 andy=^4138
m)no solution
n)aandbcan be any real number except for 0
o)xandycan be any real number except for 0
p)x= 48andy= 7
q)x= 3 andy= 4- a)^12013
b)each ruler costs R 5 and each pen costs R 3
c) The price of the hotdog is R 31 while a milkshake costs R 25.
d)Lefu has 77 marks and Monique has 89 marks
e)0,56 km
f) The trucks will meet after 1
g)8 km
h)R 20
i) 33
j) 12
k) x= 5 - a) x=a bc; b̸= 0
b) PV=I
c) cE 2 =m
d) v au=t
e)f=vuv+u
f) mx+c=y
g)If(a+b+c)̸= 0thenx= 4 bIfa+b+c= 0; x 2 R
h)r=^1315
i)b= 8 - a) x < 1 andx4;x 2 R
b)x 2;x 2 R
c) 1 < x 2;x 2 R - a)
(
1; 229)b) x 2(
1; 58]
.
c) [^8031 ; 1 )
d)
(
1;^13
)
[
( 17
3 ;^1)- a)^012345 x
x<4;x 2 Nb) ^6 ^5 ^4 ^3 ^2 ^10 bb>4;b 2 Zc) ^3 ^2 ^10123 xx<0;x 2 R- a) x= ^31776
b)x= 2 orx= 10
c) a= 5ora= 11
d)x= 2orx= 2
e)a= 4ora= 3
f) a= 2ora= 3
g)a= 2ora= 9
h)b=
p
3 orb= 1
i)y=^23 ory= 1
Solutions 503