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

Algebra.Com's Answer #25321 by fractalier(6550) $\"\"$ $\"About$

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On a number line, make dotted points at 2 and at 5. These are your \"critical\" points.
\n" ); document.write( "Now we test points in each of the three intervals to see if those values (and that entire region) make the inequality
\n" ); document.write( "(x-2)(x-5)<0
\n" ); document.write( "true.
\n" ); document.write( "So try x = 1. Does it make the inequality true? No.
\n" ); document.write( "Now try x = 3. Now is it true? Yes.
\n" ); document.write( "Now try x = 6. Now is it true? No.
\n" ); document.write( "Therefore shade in the region between 2 and 5, and state your answer as
\n" ); document.write( "2 < x < 5 \n" ); document.write( "

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