document.write( "Question 115335: 13. Graph the inequality.
\n" ); document.write( " 2x + 3y > 6\r
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Algebra.Com's Answer #83920 by aka042(26) $\"\"$ $\"About$

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The graph the inequality, we must first rewrite the inequality so it expressed explicitly in terms of x.\r
\n" ); document.write( "\n" ); document.write( "To do this, we must first subtract 2x from each side to have y by itself. This gives us $\"3y+%3E+6+-+2x\"$ . Now we need to divide through by 3 to reduce the coefficient of y 1 one. This gives us $\"y+%3E+2+-+%282%2F3%29+%2A+x\"$ .\r
\n" ); document.write( "\n" ); document.write( "Now, we just graph this as a normal y = line, keeping in mind that instead of using a solid line, we must use a dotted line to indicate a strict inequality (if it were >=, then we would use a solid line).\r
\n" ); document.write( "\n" ); document.write( "The graph looks like this (keeping in mind that you will need to replace the solid line with a dotted line):
\n" ); document.write( " $\"graph%28300%2C200%2C+-5%2C+5%2C+-10%2C+10%2C+2+-+%282%2F3%29%2Ax%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Finally, because we are looking for all y values GREATER than that line, you must shade the region above the line. \n" ); document.write( "

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