document.write( "Question 3099: solve the inequality,state the solution set using interval notation and graph the solution set.
\n" ); document.write( "4x^2-8x greater than or equal to 0 \n" ); document.write( "

Algebra.Com's Answer #1331 by stop12345now(6) $\"\"$ $\"About$

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4x^2-8x > 0 (add equals after solution)
\n" ); document.write( "4x(x-2) > 0 (factor out 4x)
\n" ); document.write( "create [plus and minus] chart
\n" ); document.write( "4x>0
\n" ); document.write( "//////////////////////////////
\n" ); document.write( "________________________________________
\n" ); document.write( "012345678
\n" ); document.write( "x-2>0
\n" ); document.write( "zero is at2
\n" ); document.write( "//////////////////////////// _________________________
\n" ); document.write( "2345678
\n" ); document.write( "u may have to fill in negative numbers for chart because computer messes it up.
\n" ); document.write( "also reposition the two so it matches the two in the First chart.
\n" ); document.write( "draw lines through the zeros (0 for top, 2 for bottom)
\n" ); document.write( "mark the signs of each zone
\n" ); document.write( "multiply top and bottom zones sep. by lines.
\n" ); document.write( "solution : whenever signs are the same
\n" ); document.write( "solution
\n" ); document.write( "2\n" ); document.write( "-infinity\n" ); document.write( "[2,infinity)
\n" ); document.write( "(-infinity, 0)
\n" ); document.write( "the graph is a parabola
\n" ); document.write( "vertex -b/2a=-(-8/4*2)=1 (x coordinate)
\n" ); document.write( "y=4(1)^2-8(1)=4-8=-4
\n" ); document.write( "the graph is a parabola with vertex (1,-4)pointing up like a \"U\" \n" ); document.write( "

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