document.write( "Question 68289: Solve the following system of linear inequalities by graphing.\r
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document.write( "3x+4y<12
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document.write( "x+3y<6
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document.write( "x>0
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document.write( "y>0\r
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document.write( "All of the < > symbols are underlined I just don't know how to show it in the equations. Thanks. \n" );
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Algebra.Com's Answer #48653 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Solve the following system of linear inequalities by graphing. \n" ); document.write( ": \n" ); document.write( "When the \"<\" sign is underlined, it means, Less than or equal to; \n" ); document.write( "We can write it like this: \n" ); document.write( ": \n" ); document.write( "3x + 4y <= 12 \n" ); document.write( "x + 3y <= 6 \n" ); document.write( "x>0 \n" ); document.write( "y>0 \n" ); document.write( ": \n" ); document.write( "put the equation in the slope/intercept form: \n" ); document.write( "4y <= 12 - 3x \n" ); document.write( "y <= 12/4 -(3/4)x \n" ); document.write( "y <= 3 - (3/4)x \n" ); document.write( "y <= -(3/4)x + 3 is the slope/intercept form \n" ); document.write( ": \n" ); document.write( "3y <= 6 - x \n" ); document.write( "y <= 6/3 - (1/3)x \n" ); document.write( "y <= 2 - (1/3)x \n" ); document.write( "y <= -(1/3)x + 2 \n" ); document.write( ": \n" ); document.write( "Plot at least two points for each equation. Since there will only be positive \n" ); document.write( "points (It said both x & y > 0). plot x = +1 and x = +3 \n" ); document.write( ": \n" ); document.write( "For example x = 1 \n" ); document.write( "y = -(3/4)x + 3 \n" ); document.write( "y = -(3/4)(1) + 3 \n" ); document.write( "y = -3/4 + 3 \n" ); document.write( "y = -.75 + 3 \n" ); document.write( "y = + 2.25 \n" ); document.write( ": \n" ); document.write( "x = 4 \n" ); document.write( "y = -(3/4)(4) + 3 \n" ); document.write( "y = -3 + 3 \n" ); document.write( "y = 0 \n" ); document.write( ": \n" ); document.write( "Plot coordinates: 1, 2.25 and 4, 0 \n" ); document.write( ": \n" ); document.write( "Do the same with the second equation; \n" ); document.write( ": \n" ); document.write( "You graph should look like this: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Note the feasibility region is above the x axis, to right of the y axis \n" ); document.write( "Below or at the graph lines whichever is lower. \n" ); document.write( " |