document.write( "Question 39877: (x-2)(x-5)<0 \n" ); document.write( "

Algebra.Com's Answer #25322 by stanbon(75887) $\"\"$ $\"About$

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(x-2)(x-5)<0\r
\n" ); document.write( "\n" ); document.write( "Look at the equality (x-2)(x-5)=0
\n" ); document.write( "x=2 or x=5\r
\n" ); document.write( "\n" ); document.write( "Put two points on a number line: one for 2 the other for 5.
\n" ); document.write( "This divides the number line into three sections.
\n" ); document.write( "Pick a single value from each of the sections: e.g. 0,3,10
\n" ); document.write( "Test each value in the original inequality: e.g.
\n" ); document.write( "For 0: (0-2)(0-5)>0; it is not less than 0, therefore that
\n" ); document.write( "section is not part of the solution of the inequality.
\n" ); document.write( "For 3: (3-2)(3-5)=1(-2)<0
\n" ); document.write( "The result is true so that section is part of the solution of
\n" ); document.write( "the inequality.
\n" ); document.write( "For 10: (10-2)(10-5)=8*5=40
\n" ); document.write( "This is not less than zero; section is not part of the solution.
\n" ); document.write( "Only the section containing x=3 is the solution.
\n" ); document.write( "SOLUTION:
\n" ); document.write( " 2\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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