document.write( "Question 67442: Hello, I need help in solving the following compound inequalities. Thank you for your assistance. \r
\n" ); document.write( "\n" ); document.write( "1. x <= 0 and x + 6 > 3\r
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\n" ); document.write( "\n" ); document.write( "2. |2x - 5| <= 0\r
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\n" ); document.write( "\n" ); document.write( "3. -x > 0 or x + 2 < 7
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Algebra.Com's Answer #47981 by venugopalramana(3286)\"\" \"About 
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Hello, I need help in solving the following compound inequalities. Thank you for your assistance.
\n" ); document.write( "1. x <= 0 and x + 6 > 3
\n" ); document.write( "X+6>3
\n" ); document.write( "X>3-6=-3................OR ..............-3\n" ); document.write( "BUT X<=0.....................................2
\n" ); document.write( "HENCE X LIES BETWEEN -3 AND 0....X=(-3,0]
\n" ); document.write( "-3\n" ); document.write( "\n" ); document.write( "2. |2x - 5| <= 0
\n" ); document.write( "|ANY NUMBER|>=0 HENCE IT IS NOT POSSIBLE TO HAVE |2X-5|<5
\n" ); document.write( "BUT |2X-5| CAN EQUAL ZERO..HENCE
\n" ); document.write( "2X-5=0
\n" ); document.write( "2X=5
\n" ); document.write( "X=5/2\r
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\n" ); document.write( "\n" ); document.write( "3. -x > 0 or x + 2 < 7
\n" ); document.write( "-X>0.....X<0........................1
\n" ); document.write( "X+2<7
\n" ); document.write( "X<7-2=5
\n" ); document.write( "X<5.......................................2
\n" ); document.write( "C0MBINING 1 & 2,WE HAVE
\n" ); document.write( "X<0
\n" ); document.write( "X=(-INFINITY,0)
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