document.write( "Question 159777: x-6/x+2<-1 how do you solve and graph this inequality?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #117860 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
x-6/x+2 < -1 how do you solve and graph this inequality?
\n" ); document.write( ":
\n" ); document.write( "Assume you mean (brackets are wonderful devices)
\n" ); document.write( "\"%28%28x-6%29%29%2F%28%28x%2B2%29%29\" < -1
\n" ); document.write( ":
\n" ); document.write( "Multiply both sides by (x+2), results
\n" ); document.write( "x - 6 < -1(x+2)
\n" ); document.write( ":
\n" ); document.write( "x - 6 < -x - 2
\n" ); document.write( ":
\n" ); document.write( "x + x < -2 + 6
\n" ); document.write( ":
\n" ); document.write( "2x < 4
\n" ); document.write( "x < \"4%2F2\"
\n" ); document.write( "x < 2
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check it with a value slightly less than 2, x = 1.8
\n" ); document.write( "\"%28%281.8-6%29%29%2F%28%281.8%2B2%29%29\" < -1
\n" ); document.write( "\"%28-4.2%29%2F3.8\" < -1
\n" ); document.write( "-1.1 < -1; is true
\n" ); document.write( ":
\n" ); document.write( "Graphing this:
\n" ); document.write( " x | y
\n" ); document.write( "---------
\n" ); document.write( "-10|+3
\n" ); document.write( "-6 |+4
\n" ); document.write( "-3 |+10
\n" ); document.write( "-2 | no value here, division by 0 in the original equation
\n" ); document.write( "-1 |-6
\n" ); document.write( " 0 |-2
\n" ); document.write( "+2 | 0
\n" ); document.write( "+3 |.4
\n" ); document.write( "+6 | 1
\n" ); document.write( "+8 |+1.2\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+%28%28x-6%29%2F%28x%2B2%29%29%2B1+%29+\"
\n" ); document.write( "Ignore the area between -1 and -3
\n" ); document.write( "The area for this equation is below the line \n" ); document.write( "
\n" );