document.write( "Question 137151This question is from textbook College Algebra
\n" ); document.write( ": How would I solve this inequality? 4x^2-2x<=0
\n" ); document.write( "I tried this 2(x^2-x)<=0 but I don't know what to do next. \n" ); document.write( "
Algebra.Com's Answer #100351 by stanbon(75887)\"\" \"About 
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solve this inequality? 4x^2-2x<=0
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\n" ); document.write( "4x^2-2x <= 0
\n" ); document.write( "2x^2-x <= 0
\n" ); document.write( "Solve the equality:
\n" ); document.write( "2x^2-x = 0
\n" ); document.write( "x(2x-1) = 0
\n" ); document.write( "x = 0 or x = 1/2
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\n" ); document.write( "Draw a number line and mark x=0 and x=1/2 on it.
\n" ); document.write( "Take a test value from each of the resulting intervals to see where the
\n" ); document.write( "solutions for the inequality are.
\n" ); document.write( "Check the test points in x(2x-1) < 0
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\n" ); document.write( "If x = -10, you get -*- < 0 which is false so no solutions in (-inf,0)
\n" ); document.write( "If x = 1/4, you get +*- < 0 which is true so solutions in (0,1/2)
\n" ); document.write( "If x =- 10, you get +*+ < 0 whic is false so no solutions in (1/2,+inf)
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\n" ); document.write( "Final Solution
\n" ); document.write( "[0,1/2]
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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