Approach 1st Edition by Blitzer ISBN 0131870270
Chapter 2 g;
5 g; g; 17 g; 1 g;
= g; − g; , g;x g; g;0
g;
Section 2.1 3.
2x 18 3x
Check Point Exercises
5 g ; g; g ; 17 g; 1 g;
18xg; = g;18x g; − g;
g;
18 g ; 3xg
1. 4(2x + 1) = 29 + 3(2x − 5) 2x ;
8x + 4 = 29 + 6x − 15 18 g;
g; 5
= g;18x g;
g ; g; g; 17
8x + 4 = 14 + 6x 1 g;
−18x g; g; 2x
g;
18
3x
8x g;− g;6x g;= g;14 g;− g;4 45 g;= g;17x g;− g;6
2x g ; =g;10 45 g;+ g;6 g;= g;17x g;− g;6 g;+ g;6
2x g ; = g;10 51 g;=17x
51 g; 17x
2 2 = g;
x g;= g;5 17 17
Check: 3 g;= g;x
4(2x g;+ g;1) g;= g;29 g;+ g;3(2x g;− g;5) The g;solution g;set g;is g;{3}.
4[2(5) g;+ g;1]g;= g;29 g;+ g;3[2(5) g;−
x 2 g; 2 g;,
= −
g; g; g ; g;
5]
g;
4.
g ;
4[10 g;+ g;1] g;= g;29 g;+ g;3[10 g;− x g; g ; 2
g; 5] xg;− g;2 x g;−g;2 3
x
4[11] g;= g;29 g;+ g;3[5] 3(xg;− g;2)g; g ; g ; = g;3(x g;−2)g;
44 g;= g;29 g;+ g;15 g ; 2 g ; g; − g;2g;
44 g;= g;44 g;true x g;− g;2 x g;−g;2 3g;
The g;solution g;set g;is x
3(xg;− g;2)g; = g;(3x g;−g;2)g;
g;
g ; g;
{5}.
g;
g ; 2 g ; g; − g ; (xg;− g;2)g;
x g;− g;2 x g;−g;2
210
© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright l aws as they
currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
, x g;−3 g; 5 g; 3x g;= g;6 g;− g;(x g;− g;2) g; g;2
= g; −
g;
2.
x=+5 3x g;= g;6 g;− g;2(x g;− g;2)
g;
4 14 7
xg;−g;3 g ; 5 x=+5g; 3x g;= g;6 g;− g;2x g;+ g;4
28 g ; g ; 4 g; g; = g;28 g ; 14− 7 g ; g ;
3x g;= g;10 g;− g;2x
11x 11
=
g ;
7(g;xg;−g;3)g=
; g;2(5)g;− g;4g;( x g;+g;5)
11 11
7x g;− g;21 g;= g;10 g;− g;4x g;− x g;= g;1
g; 20
7x g;− g;21g;= g;−4x g;−10
7x g;+ g;4x g;= g;−10g;+ g;21
11x g;=g;11
210
© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright l aws as they
currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
, 2x g;+ g;2x
3 5x g ; =g;10
x
5x g ; 10
+ = g;
2 5 5
x x g;= g;2
= The g;solution g;set g;is g;the g;empty g;set, g;.
1
0 5. Set g;f g;(x) g ; = g;g(x)g;.
− 1 g; g;1 g; g;22
+ =
g ;
Check: xg;+ g;4 xg;− g;4 x2 g ; −16
210
© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright l aws as they
currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
, x g;−3 g; g;5 g; x g;+5 1 1 22
= g; − g; + g; =
4 14 7 g ;
1− g;3 g; g;5 g; 1+5 x g;+ g;4 x g;− g;4 (x g;+ g;4)(x g;−
=g; − g;
g;
g; 4) g ; (x g;+ g;4)(x g;− g;4) (x g;+ g;4)(x g;− g;4)
4 14 7
22(x g;+ g;4)(x g;− g;4)
−2 g; g;5 g; g; 6 + g; = g;
= g; − g;
4 14 7 x g;+ g;4 x g;− g;4 (xg;+ g;4)(x g;−
1 g;
− g; = g;− g;
1 4) g;(x g;− g;4) g;+ g;(x g;+ g;4) g;= g;22
g;
2 2 xg;− g;4g;+ g;xg;+ g;4 g;= g;22
The g;solution g;set g;is 2x g ; = g;22
{1}.
x g;= g;11
g;
210
© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright l aws as they
currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.