document.write( "Question 151260: $\"-x%3C2x%2B3%3C-8x%2B3\"$ \n" ); document.write( "

Algebra.Com's Answer #111157 by HyperBrain(694) $\"\"$ $\"About$

You can put this solution on YOUR website!
-x<2x+3<-8x+3\r
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\n" ); document.write( "\n" ); document.write( "This is the intersection of:
\n" ); document.write( "-x<2x+3
\n" ); document.write( "2x+3<-8x+3
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\n" ); document.write( "\n" ); document.write( "So, I'll solve the first inequality first.\r
\n" ); document.write( "\n" ); document.write( "-x<2x+3
\n" ); document.write( "-x+x<2x+x+3
\n" ); document.write( "0<3x+3
\n" ); document.write( "0-3<3x+3-3
\n" ); document.write( "-3<3x
\n" ); document.write( "3x>-3
\n" ); document.write( "x>-1\r
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\n" ); document.write( "\n" ); document.write( "Next, the second inequality,
\n" ); document.write( "2x+3<-8x+3
\n" ); document.write( "2x+8x+3<-8x+8x+3
\n" ); document.write( "10x+3<3
\n" ); document.write( "10x+3-3<3-3
\n" ); document.write( "10x<0
\n" ); document.write( "10x/10<0/10
\n" ); document.write( "x<0\r
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\n" ); document.write( "\n" ); document.write( "Now, notice the blue inequalities,
\n" ); document.write( "we should get their intersection.\r
\n" ); document.write( "\n" ); document.write( "Quick crash course:
\n" ); document.write( "Given two sets a\n" ); document.write( "\n" ); document.write( "Go back to the blue inequalities.\r
\n" ); document.write( "\n" ); document.write( "x>-1
\n" ); document.write( "x<0\r
\n" ); document.write( "\n" ); document.write( "Take note that I can write x>-1 into -1\n" ); document.write( "\n" ); document.write( "So, the intersection of -1\n" ); document.write( "is
\n" ); document.write( "-1< x <0\r
\n" ); document.write( "\n" ); document.write( "And that's the answer.\r
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\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain!
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