ࡱ> *,)_ /bjbj 4@h1bh1b NNNNNbbbbLLbeB(""""qqqAAAAAAA$D5GpAQNq}qqqANN""[Bq"N"N"AqAn0>@"Pt&P8? A5B0eBX?dGG@@GN@qqqqqqqAA7qqqeBqqqqGqqqqqqqqqB : Unit 1 & 2 - Day 6: Solving Absolute Value Inequalities NOTESEXAMPLES Absolute Value Inequalities: GREATOR statements become  _____ inequalities. %x% > 3 Becomes  LESS THAND statements become  _____ inequalities %x%< 3 Becomes  Once you isolate the absolute value and it is compared to a NEGATIVE& .. *Absolute Value > Negative This is ALWAYS true: _______________________ *Absolute Value < Negative This is NEVER true: ________________________ ASSIGNMENT: # s 1  15 Solve each inequality. Graph the solution set on a number line. 1. %3x + 4% < 8 2. %4v% + 1 > 27 3. % EMBED Equation.3   3 % d" 5 4. %a + 9% e" 30 5. %2f  11% > 9 6. %5w + 2% d" 28 7. %10  2k% < -2 8. % EMBED Equation.3   5% + 2 e" 10 9. %4b  11% < 17 10. %100  3m% > -20 11. |x  5| + 3 > 1 12. 5|2z + 3| < -5 13. |x  1| > 3 14. 3|r + 5| - 3 > 6 15. 5|y + 3| - 2 < -10 # s 16  18 Write an absolute value inequality to describe each situation. 16. In order to enter the kiddie rides at the amusement park, a child must be at least 4 years old, but no more than 10 years old. 17. The temperature of a freezer is less than 16p F and greater than 12p F. 18. In car r 8np0 2 ŶpcVF7hT h`Y2CJOJQJaJhT h`Y25CJOJQJaJh,Y5CJOJQJaJh5CJOJQJaJhT h){5CJOJQJaJh`Y2h&CJOJQJaJhT h){5OJQJhT h["5OJQJh`Y2h){CJOJQJaJh`Y2hCJOJQJaJh`Y2h&5CJ OJQJaJ h`Y2h5CJ OJQJaJ h; m5CJ OJQJaJ hV5CJ OJQJaJ p[VMM $Ifgd,Ygd&kd$$IfTl0 d&` p t0644 lapytT T $$Ifa$gdT gdV$a$gdV4 6 8 : 6 8 F V X Z \ $Ifgd,Y $Ifgd,6 $$Ifa$gdT $Ifgd&2 : D H 8 : < > D F V X Z \ ^ b d n 幪sgXsssssghT h,YCJOJQJaJh,6CJOJQJaJhT hs CJOJQJaJ0jhT h,6CJOJQJUaJmHnHuhT h,6CJOJQJaJhT h !CJOJQJaJhT h !CJaJhT h&CJOJQJaJ"hT h`Y25>*CJOJQJaJhT h`Y2CJOJQJaJh,YCJOJQJaJ \ ` b d f h j l n 6 8 d . 0 L  0 $Ifgd, $Ifgd&n 0 D J b     , . 8 : < b d ƹ㪟㪟vcM+j tJ hT hCJOJQJUVaJ%jhT hCJOJQJUaJhT h,CJaJhT h,CJOJQJaJhT hCJOJQJaJhT h`Y2CJaJhT h`Y2CJOJQJaJhx8{5CJOJQJaJhT h`Y25CJOJQJaJh,Y5CJOJQJaJh,YCJOJQJaJh,Yh,Y5CJOJQJaJd f h t v ~  $&(NPRT^`tȽȮȽȮȽȮȽȮȽȢȮȌwȽȮ)jhT hCJEHOJQJUaJ+j! tJ hT hCJOJQJUVaJh2nCJOJQJaJhT h,CJOJQJaJhT h,CJaJhT hCJOJQJaJ%jhT hCJOJQJUaJ)jhT hCJEHOJQJUaJ* vx"$FHtvB $Ifgd, $Ifgd&.DF&&&&&ζζ΍΁ζpaTh,Y5CJOJQJaJhT h^:CJOJQJaJhT h&CJOJQJaJUh2nCJOJQJaJhx8{CJOJQJaJhx8{5CJOJQJaJhx8{hx8{5CJOJQJaJhx8{CJOJQJaJhCJOJQJaJh2nCJOJQJaJhT h,CJaJhT h,CJOJQJaJh,YCJOJQJaJ BDLN&&'B'D'v'z'|'~''''''''((J(N( $Ifgd0x $Ifgd7 $IfgdV $Ifgd&acing, the greatest allowable height is 53 in. and the least allowable height is 51 in. Example #1: Solve an Absolute Value Inequality (>) Solve %3x - 12% e" 6 %3x - 12% e" 6  To do #1: Solve an Absolute Value Inequality (>) Solve %2x  2% > 4 %2x  2% > 4  Example #2: Solve an Absolute Value Inequality (<) Solve %2x + 2%  7 d" -5 %2x + 2%  7 d" -5  To do #2: Solve an Absolute Value Inequality (<) Solve 2%2x  4% < 16 2%2x  4% < 16 Example #3: Solve an Absolute Value Inequality Solve %4a - 3% d" -3 %4a - 3% d" -3 Example #4: Solve an Absolute Value Inequality Solve %4a  3| + 5 > 2 %4a  3| + 5 > 2 Example #5: Writing Absolute Value Inequalities You are cutting pieces of wood to make a table. Each piece should be 4.75 ft, but you will use a piece if it is greater than 4.7 ft and less than 4.8 ft. Write an absolute value inequality for the length of the wood. To Do #3: Writing Absolute Value Inequalities The temperature of a refrigerator is at least 35p F and at most 41p F. Write an absolute value inequality for the temperature of the refrigerator. &''&'('6'8'@'B'T'V'd'f'v'x''''''''( (((2(>(@(J(L(Z(\(^(r(((((((ŶжtgŶŶtgŶŶh,Y5CJOJQJaJhT hCJOJQJaJhT h7CJOJQJaJ0jhT hwCJOJQJUaJmHnHuhT hwCJaJhT hwCJOJQJaJhT h0xCJaJhT h0xCJOJQJaJhT h75CJOJQJaJhT h0x5CJOJQJaJ(N(P(R(T(V(X(Z(\(^((((>)B)D)F)H)J)L)N)P)R)T)V))))&* $Ifgd0x $Ifgd7((()$)&)<)>)@)F)T)V)f))))))))))))*******"*$***,*6*J*ׯ毇ׯׯxׯׯxl`h,YCJOJQJaJh&CJOJQJaJhT h7CJOJQJaJhT h0xCJaJhT h0x5CJOJQJaJh,Y5CJOJQJaJhT hCJOJQJaJ0jhT h0xCJOJQJUaJmHnHuhT hwCJOJQJaJhT h0xCJOJQJaJhT hwCJaJ$&*(***,*.*0*2*4*6*****+++++ + ++n++++++ $Ifgd,Y $Ifgd& $Ifgd7J*P********************* + ++"+(+l+n+z+|++++++++++++++++ ,P,ȼӼӼȼӼӼӼȼӼȼӼӼxh,Yh,Y5CJOJQJaJh,Yh,YCJOJQJaJhx8{CJOJQJaJ0jhT h,YCJOJQJUaJmHnHuh,YCJOJQJaJhT h,YCJaJhT h,YCJOJQJaJh,Y5CJOJQJaJhT h,Y5CJOJQJaJ/++++++++R,. . .........x./ $Ifgd,Y $Ifgd&P,R,.....v.x.....////㯠h`Y2h&CJOJQJaJhT h&CJOJQJaJhT h,YCJOJQJaJh,YCJOJQJaJh,Y5CJOJQJaJhx8{CJOJQJaJh,YCJOJQJaJh,Yh,Y5CJOJQJaJ///xsgd&kd$$Ifl0\ d&  t0644 lapytT 21h:pKu/ =!"#$% $$If!vh#v` #vp:V l t065` 5ppytT TDd lb  c $A? ?3"`?2\*;Y)ȠG8>С8n`!0*;Y)ȠG8>Сv`!xcdd``$d@9`,&FF(`Ts A?dbA3zjx|K2B* Rj8 :@u!f0109Y@#ȝVĠZȰnG!??b!f22avgi5J. S7#RpeqIj.@:@:| L eY@Dd lb  c $A? ?3"`?2\9LIeA$K8n`!09LIeA$KvRxcdd``$d@9`,&FF(`Ts A?dbA3zjx|K2B* Rj8 :@u!f0109Y@#ȝVĠZpyG!??b'YBdejT 1\Pr}6b;oF&&\ @ ]` {> A?fA$$If!vh#v #v:V l t065 5pytT   "#$%&'(+./012356789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWRoot Entry Fu&P-Data !WordDocument4@ObjectPoolks&Pu&P_1249120011 Fks&P0s&POle CompObjfObjInfo  FMicrosoft Equation 3.0 DS Equation Equation.39qU3@  \  e@ Verdana e@~c  e@~2 FMicrosoft Equation 3.0 DS EqEquation Native O_1249119521 F0s&P0s&POle CompObj fuation Equation.39qU3pL   e@ Verdana e@~x  e@~2 Oh+'0 $ D P \ ht|1Scott HilbornObjInfo Equation Native  O1Table4GSummaryInformation( NormalEdwards, Stephanie M.2Microsoft Office Word@@ŀ&P@ŀ&P@ŀ&PvZ ՜.+,0 hp|     1 DocumentSummaryInformation8CompObjrTitle  F Microsoft Word 97-2003 Document MSWordDocWord.Document.89qs2&6FVfv2(&6FVfv&6FVfv&6FVfv&6FVfv&6FVfv&6FVfv8XV~ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@_HmH nH sH tH @`@ &NormalCJ_HaJmH sH tH DA D Default Paragraph FontRi@R  Table Normal4 l4a (k (No List jj & Table Grid7:V0HH R> Balloon TextCJOJQJ^JaJPK![Content_Types].xmlN0EH-J@%ǎǢ|ș$زULTB l,3;rØJB+$G]7O٭Vc:E3v@P~Ds |w<v @2 n d &(J*P,/ \ BN(&*+// ') ::8 @ (  hB  s *D1"?hB  s *D1"?hB  s *D1"?hB  s *D1"?hB  s *D1"?hB  s *D1"?hB  s *D1"?hB  s *D1"?B S  ?.%} B t? ty#(tytyHMttttttttv 7 3 %1rr  bc{W  %1rr  bc{W  X 7])`)4Ɔ&7 o<#RIS5P>_TΤY]To2ggthnNhjbjy_u.LnElxx|c\^`\o(. 88^8`hH. L^`LhH.   ^ `hH.   ^ `hH. xLx^x`LhH. HH^H`hH. ^`hH. L^`LhH. \ ^ `\o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. \ ^ `\o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. \ ^ `\o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. \ ^ `\o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. ^`o(hH) ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.::^:`o(0^`0o(.88^8`o(..88^8`o(... `^``o( .... ^`o( ..... pp^p`o( ......  ( ^ `(o(.......  ( ^ `(o(........JJ^J`OJPJQJ^Jo(^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoZZ^Z`OJQJo(hH*!*!^*!`OJQJo(hH##^#`OJQJ^Jo(hHo&&^&`OJQJo(hH\^`\o(.0^`0o(.88^8`o(..^`o(... pp^p`o( ....  ( ^ `(o( ..... @ @ ^@ `o( ......  X ^ `Xo(....... ^`o(........::^:`o(0^`0o(.88^8`o(..^`o(... pp^p`o( ....  ( ^ `(o( ..... @ @ ^@ `o( ......  X ^ `Xo(....... ^`o(........ \ ^ `\o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. \ ^ `\o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. @^`o(hH. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. S5PggthY]7]) o<Elxx&7#RIhj_u`)T ?p        `        PzTz        Hx        ֺ,                         3        x`0/T s   -b !N'M(`Y2r7R>JVmY,Y_[.f; mw0xx8{r`~8["}7?/=V2n,67s ,2Ku&){^:{N& @  L  &Unknown G.[x Times New Roman5Symbol3. .Cx Arial7. [ @Verdana7.*{$ Calibri5. .[`)Tahoma?= .Cx Courier New;WingdingsA$BCambria Math"qhigigigvZvZ!24 3QHP ?V2!xx8u 1 Scott HilbornEdwards, Stephanie M.@