ࡱ> :<97 bjbjUU &.7|7|i lR~ ~ ~ 8 4 Ru $+ K rL/LLLLL< L R,~ E0u  L.0"Absolute Value Equations Solve and graph the solution each of the following equations. Write the solution in interval notation. Set 1 1. |2x+ 3| = 5 2. |3 x| = 7 3. |4x 3| = 13 4. |5 3x| = 2 5.  eq \b\bc\|(\f( 3x + 4 ,3)) = 5 6.  eq \b\bc\|(\f( 3x + 1 ,4)) = 2 7. 3 |5x 2| = 7 8.  eq \f( 5 ,2)  eq \b\bc\|(\f( 2x + 1 ,2)) =  eq \f( 3 ,2) 9.  eq \f( 2 ,3) 3 eq \b\bc\|(\f( x 2 ,2)) =  eq \f( 1 ,6) 10. 4 2|4 3x| = 8 11. |5x + 3| = |2x 1| 12. |2 + 3x| = |4 2x| 13. |3x  4| = |2x + 3| 14.  eq \b\bc\|(\f( 2x  5 ,3)) =  eq \b\bc\|(\f( 3x + 4 ,2)) 15.  eq \b\bc\|(\f( 4x  2 ,5)) =  eq \b\bc\|(\f( 6x + 3 ,2)) 16.  eq \b\bc\|(\f( 3x + 2 ,2)) =  eq \b\bc\|(\f( 2x  3 ,3)) Set 2 1. | x | < 3 2. | x | 8 3. | 2x | < 6 4.  eq \b\bc\|( \f(5x,2) ) 5 5. | x + 3 | < 4 6. | x  2 | < 6 7. | x  8 | < 12 8.  eq \b\bc\|( x + \f(2,3) ) <  eq \f(5,3) 9.  eq \b\bc\|( x  \f(1,2) ) <  eq \f(3,2) 10.  eq \b\bc\|( x  \f(3,4) ) <  eq \f(7,4) 11. | x  1 | < 3 12. | x + 3 | 4 13. | 3x  2 | < 9 14.  eq \b\bc\|( \f( x  2 ,2) ) < 1 15. | 2x + 5 | < 9 16.  eq \b\bc\|( \f( 2x + 1 ,3) ) < 3 17. 1 + 2|x  1| 9 18. 10  3|x  2| 4 19. 6  |2x  5| 3 20.  eq \f( 3 ,2)  2 eq \b\bc\|(\f( x + 4 ,4))   eq \f( 3 ,2) 21.  eq \f( 2 ,3)  2 eq \b\bc\|(\f( 2x  2 ,3)) >  2 22.  eq \f( 1 ,3)  3 eq \b\bc\|(\f( 3  x ,2))   eq \f( 1 ,6) Set 3 1. | x | > 5 2. | 3x | > 5 3.  eq \b\bc\|( \f(2x,3) ) > 4 4. | x  4 | > 5 5. | x + 3 | 3 6. | 2x  4 | > 6 7. | 3x  5 | 3 8.  eq \b\bc\|( \f( x  3 ,2) ) 3 9.  eq \b\bc\|( \f( 3x  2 ,4) ) > 2 10.  eq \b\bc\|( \f( 2x  5 ,3) ) 3 11. 3  |2  x| < 1 12. 4 + 3|x  1| 10 13. 3  2|3x  1|  7 14.  eq \f( 1 ,3) +  eq \b\bc\|(\f( 2x + 1 ,6))  eq \f( 1 ,2) 15.  eq \f( 2 ,3)   eq \b\bc\|(\f( 3x  2 ,6))   eq \f( 1 ,2) 16.  eq \f( 1 ,4)   eq \b\bc\|(\f( 2x + 3 ,3)) <   eq \f( 5 ,2) Answers Set 1 1.  4, 1 2. 10,  4 3. 4,   eq \f( 5 ,2)  4. 1,  eq \f( 7 ,3)  5.  eq \f( 19 ,3) ,  eq \f( 11 ,3)  6. 3,  eq \f( 7 ,3)  7.  eq \f( 12 ,5) ,  eq \f( 8 ,5)  8.  eq \f( 1 ,2) ,  eq \f( 3 ,2)  9.  eq \f( 7 ,3) ,  eq \f( 5 ,3)  10.  eq \f( 10 ,3) ,  eq \f( 2 ,3)  11.  eq \f( 4 ,3) ,  eq \f( 2 ,7)  12. 6,  eq \f( 2 ,5)  13. 7,  eq \f( 1 ,5)  14.  eq \f( 22 ,5) ,  eq \f(2, 13 )  15.  eq \f( 19 ,22) ,  eq \f( 11 ,38)  16. 0,  eq \f( 12 ,5)  Set 2 2. [8, 8] 4. [2, 2] 6. (4, 8) 8. (  eq \f( 7 ,3) , 1) 10. (1,  eq \f( 5 ,2) ) 12. [ 7, 1] 14. (0, 4) 16. ( 5, 4) 17. [ 3, 5] 18. [0, 4] 19. [1, 4] 20. [ 10, 2] 21. [ 1, 3] 22.  eq \b\lc\[(\f( 8 ,3)), \b\rc\](\f( 10 ,3)) Set 3 2. ( ,   eq \f( 5 ,3) ) or ( eq \f( 5 ,3) , ) 4. ( ,  1) or (9, ) 6. ( ,  1) or (5, ) 8. ( ,  3] or [9, ) 10. ( ,  2] or [7, ) 11. ( , 0) or (4, ) 12. ( ,  1] or [3, ) 13.  eq \b\lc\[( \f( 4 ,3)), \b\rc\](\s( ,2, )) 14. ( ,  1] or [0, ) 15.  eq \b\lc\((\s( , , )), \b\rc\]( \f( 5 ,3)) or [3. ) 16.  eq \b\lc\((\s( ,, )), \b\rc\)( \f( 57 ,16)) or  eq \b\lc\((\f( 9 , 16 )), \b\rc\)(\s( ,, )) Inequalities  PAGE 3 ,-:;=>@AKL\]`anost46JLlntv02<>RTtv|~24LNPROJQJEH5 jU_pX" 0  p . :  Hx  Hx H$a$i    ( * > @ ` b h j ( * ^ ` t v   < > h j       * , 6 8 R T X Z ` b v x         EHOJQJ5 jU_ 6 8 DFRThj*,.0 "$&(*DFPRlnrtxz "$DFLNPRlnEHOJQJ5 jU_: H ~ (6Hprt 4X  x^` @ \ ^`$a$  Hx  "#%&*56>?CMNRSWbcghlvw{|  #$(23;<JKRSbcghwx jCJU jUCJ_&:<BD\^z|,.<>XZjl 02:<BDHJXZtv OJQJo(CJ EHOJQJ5 jU jCJUCJXbdp2zhi  !$ @ \ ^`   !"#$1289CDZ[_`abcdfgvw}~0JmHnHu0J j0JU OJQJo(OJQJ jUEH5CJ /$1/ =!"#8$8% iB@B NormaldCJOJQJ_HmH sH tH BB Heading 1$0x^`0KH22 Heading 2 $^:: Heading 3$P^`P>> Heading 4$P^`PCJ<A@< Default Paragraph Font:O: Problem0^`0EHH*88 SubProblemP^`P66 TitleHeading$a$CJ6"6 Normal Indent ^< @2< Footerd$d !CJ4B4 Style1^`CJ6R6 Subtext^`CJb Numberedp & FP>T.^`PCJX$rX Envelope Address!@ &+D/^@ ;>> General Paragraph h`h44 Phenomenologyd,, Header  !&)@& Page Number . z z z pX,NRL$ 4 , O r  \ h i 00000000000000000000000000000000000000000000000000000000000  : ,:@\`ns6:V\x|&c/Li)0LWel)FOmw"(6<X^lr "%5>MRbgv{  # 2 ; J R b g w    w  1 8 f 111111111111111111111111111111111111111111111111111111111111111111111111111 !i 12BCST  *,(Lv79 9cz # $ , : ; F O ] ^ h r   2 3 I \ v 5 7 i :::::::::::::::::::::::::::::::::::::::::*0MWfl#(7<Y^mr ) + E g h i v  Stephen LanelC:\Documents and Settings\Stephen Lane\Application Data\Microsoft\Word\AutoRecovery save of Inequalities.asd Stephen LaneC:\Documents and Settings\Stephen Lane\My Documents\Wordfile\School Documents\Algebra\Handouts for CD\MPC 099\Optional\Linear Equations\Inequalities.doc Stephen LaneqJ:\School Documents\Algebra\Handouts for CD\MPC 099\Optional\Linear Equations\Inequalities and Absolute Value.doc Stephen LaneC:\Documents and Settings\Stephen Lane\Application Data\Microsoft\Word\AutoRecovery save of Inequalities and Absolute Value.asd Stephen LaneqJ:\School Documents\Algebra\Handouts for CD\MPC 099\Optional\Linear Equations\Inequalities and Absolute Value.doc Stephen LaneqJ:\School Documents\Algebra\Handouts for CD\MPC 099\Optional\Linear Equations\Inequalities and Absolute Value.doc Stephen LaneC:\Documents and Settings\Stephen Lane\My Documents\Wordfile\School Documents\Algebra\MATH150\HANDOUTS\Algebra\Absolute Value Equations.doc Stephen LaneC:\Documents and Settings\Stephen Lane\My Documents\Wordfile\School Documents\Algebra\MATH150\HANDOUTS\Algebra\Absolute Value Equations.doc Stephen LaneOF:\Word Documents\Algebra\MATH150\HANDOUTS\Algebra\Absolute Value Equations.doc Stephen LaneTF:\Word Documents\Math Handouts\Algebra\MTH 150\Algebra\Absolute Value Equations.doc@+ + + + | @@@@@ @ @@@$@@@0@UnknownGz Times New Roman5Symbol3& z Arial"hI&F;  820 d3QH Inequalities Stephen Lane Stephen LaneOh+'0  4 @ L Xdlt| Inequalitiesoneq Stephen Laneotep Normal.dote Stephen Laneo5epMicrosoft Word 9.0@@ 8@=T{@hc; ՜.+,0 hp|   a   Inequalities Title  !"#$%&'(*+,-./02345678;Root Entry F =1Table WordDocument&.SummaryInformation()DocumentSummaryInformation81CompObjjObjectPool    FMicrosoft Word Document MSWordDocWord.Document.89q