document.write( "Question 414479: solve the following inequalities.
\n" ); document.write( "(x-5)(2x+7)<0
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Algebra.Com's Answer #291314 by lwsshak3(11628)\"\" \"About 
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solve the following inequalities.
\n" ); document.write( "f(x)=(x-5)(2x+7)<0\r
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\n" ); document.write( "Critical points
\n" ); document.write( "x-5=0
\n" ); document.write( "x=5
\n" ); document.write( "2x+7=0
\n" ); document.write( "x=-7/2
\n" ); document.write( "Show critical points on number line.
\n" ); document.write( "For x>=5, f(x)>=0
\n" ); document.write( "For x<=-7/2, f(x)>=0
\n" ); document.write( "For -7/2< x <5, f(x)<0
\n" ); document.write( "Given problem states that f(x) must be <0
\n" ); document.write( "Solution:(-7/2,5)
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