ࡱ>  ` D$bjbjss 4( 2222222F$FW$p${h-222JJJ22JJJ22J pX;J'0WJopoJJo2b\J@ WFFF FFF FFF222222  Graphing Systems of Inequalities 5B When we solved and graphed inequalities with only one variable (ex: x > 3), we moved on to compound inequalities (AND/OR). We would graph both inequalities on the same number line and decide what to keep based on whether it was an AND or an OR problem. When we graphed linear equations on the coordinate plane we moved on to solving systems of equations graphically. When we graph inequalities in two variables on the coordinate plane, we do not graph compound inequalities. We move on to solving systems of inequalities. It takes a little from both inequalities with one variable and solving systems graphically. Solve the system of inequalities graphically: y > x + 3 y < 3x 5 Step 1: Step 2: ON THE SAME GRAPH Graph and shade the 1st inequality Graph and shade the 2nd inequality y > x + 3 y < 3x 5 m =  EMBED Equation.3  =  EMBED Equation.3  m =  EMBED Equation.3 =  EMBED Equation.3  1st pt= (0,3) 1st pt.= (0,-5) (0, 2) (0, 4) (0-6) (0,-4) y > x + 3 y > x + 3 y < 3x 5 y < 3x 5 2 > (0)+3 -3 > (0) + 3 -6 < 3(0) - 5 -4 < 3(0) - 5 2 > 3 4 > 3 -6 < -5 -4 < -5 FALSETRUE TRUE FALSE Step 3: Label the area where the shading intersects with an S 1) y < S!x  4 2) 4x + 2y d" 4 y > -5x + 1 5x  3y < 9 3) 2x + 12y > 36 4) x e" 4 11x  33y e" 66 (y  3) >  EMBED Equation.3 (x  2) 5) 42x  14y < 56 6) (y  2) >  EMBED Equation.3 (x  4) y e" -2 15x + 9y d" 27 Name ______________________________________ Date _____________ Algebra I  Pd ____ Graphing Systems of Linear Inequalities Graph the following systems, show all work on looseleaf !&'yz    \ ^  ̽saasM&jhr^h`fB*CJUaJph#hr^h`f5B*CJH*aJph(hr^h`f5B*CJOJQJaJph hr^h`f5B*CJaJph%hr^h`fB*CJOJQJaJph hr^h`f>*B*CJaJphhr^h`fB*CJaJph(hr^h`f5B*CJOJQJaJph hr^h`f5B*CJaJphh;5B*CJaJph'   G y 2 `J [$\$gd`fdgd`f$pd^pa$gd;D$      - . / 0 j k ~  ôôôôzdôôR<*j?hr^h`fB*CJEHUaJph#j( IG hr^h`fCJUVaJ*j=hr^h`fB*CJEHUaJph#j IG hr^h`fCJUVaJ*jhr^h`fB*CJEHUaJph#jS IG hr^h`fCJUVaJhr^h`fB*CJaJph&jhr^h`fB*CJUaJph*jhr^h`fB*CJEHUaJph#jD IG hr^h`fCJUVaJ x y "#12vxyz _`(*VXݯݯݯݯݯݯ잉ݯ~hr^hCJaJ(hr^h`f5B*CJOJQJaJph hr^h`f5B*CJaJph hr^h`f>*B*CJaJphhr^B*CJaJph hr^h`fB*CJH*aJphhr^h`fB*CJaJph%hr^h`fB*CJOJQJaJph.fh8:<>@BNPB""""""#####d#gd;(*PRTV8"D$񭫭Uh;jy h`fhT<EHUj IG hT<CJUVaJjwh`fhT<EHUj IG hT<CJUVaJjh`fUh`fhr^h`fCJaJ1) ye" 3x + 1 2) 2ye" x  4 y  1 < x y < 3x 3) -2y e" -4x  6 4) x + y > 6 y e" x y d" 2x  5 5) y  4 > -2x 6) 2x  y d" 3 y > x + 2 3x + y d" 7 7) y > -2x + 10 8) y d" x -3 3x + y < 7 -y  x < -1 d#######B$D$gd;21h:pr^/ =!"#$% Dd lb  c $A? ?3"`?2Lv*n>|e?x(D`! v*n>|e?xvRxcdd``$d@9`,&FF(`Ts A?dmbAӘzjx|K2B* Rj8 :@u!f0109Y@#ȝATN`gbM-VK-WMc]  f22fbɘTB!`a%ԅ\`_@tC``Ĥ\Y\ qA]̀ f',8;Dd pb  c $A? ?3"`?2E.1 +aF`!YE.1 +" d'xcdd``d 2 ĜL0##0KQ* Wä*d3H1)fYۀ3PT obIFHeA*/&`b]F"L L`0e roB2sSRsjW|)ob`Wd4+aW k@0*p#D=Iru=ߋ23J`v`}i44!1 b;GLLJ% 4>DLmQ;Dd lb  c $A? ?3"`?2LK ؜p@(`! K ؜p@v`!xcdd``$d@9`,&FF(`Ts A?dmbAәzjx|K2B* Rj8 :@u!f0109Y@#ȝATN`gbM-VK-WMc]  f22f`VB~`q%ԅ\`_@tC``Ĥ\Y\ qA]̀ f',Rx8^8Dd Hb  c $A? ?3"`?2(٪##o Gw#Ic {QfzF ̮jFPЗpAC  0y{qĤ\Y\ qACbL gQNDd lb  c $A? ?3"`?2Lf^w,Fl(`! f^w,FlvRxcdd``$d@9`,&FF(`Ts A?dmbAәzjx|K2B* Rj8 :@u!f0109Y@#ȝATN`gbM-VK-WMc]  f22fbUB!`a%ԅ\`_@tC``Ĥ\Y\ qA]̀ f',T8Dd lb  c $A? ?3"`?2KlBGQ*' `!lBGQ*vRxcdd``$d@9`,&FF(`Ts A?dmbAӘzjx|K2B* Rj8 :@u!f0109Y@#ȝATN`gbM-VK-WMc]  f22fbɘTBq%ԅ\`_@tC``Ĥ\Y\ qA]̀ f',8 "$#%'&()*,+-.0123456789:Root Entry# F`;! Data WordDocument"4(ObjectPool%p竡;`;_1195969092Fp竡;p竡;Ole CompObjfObjInfo !"#$%&')*+,-/ FMicrosoft Equation 3.0 DS Equation Equation.39qp 14 FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native 6_1195969107 Fp竡;p竡;Ole CompObj fObjInfo Equation Native  b_1195969044Fp竡;p竡;Ole  F| (up1)(right4) FMicrosoft Equation 3.0 DS Equation Equation.39qHT< 31CompObj fObjInfoEquation Native 6_1195969064Fp竡;p竡;Ole CompObjfObjInfoEquation Native b FMicrosoft Equation 3.0 DS Equation Equation.39qFo (up3)(right1) FMicrosoft Equation 3.0 DS Eq_1195969510Fp竡;p竡;Ole CompObjfObjInfouation Equation.39qD; 12 FMicrosoft Equation 3.0 DS Equation Equation.39qD 34Equation Native 6_1195969509 Fp竡;pX;Ole CompObj fObjInfo!Equation Native 61Table/oSummaryInformation($ Oh+'0 (4 T ` l x$Graphing Systems of InequalitiesMathNormalMissy Keenan4Microsoft Office Word@NZ@