document.write( "Question 977415: Solve inequality. Please show steps too. I have no idea how to do this. \r
\n" ); document.write( "\n" ); document.write( " 2x^2 + 9x + 4 < 0
\n" ); document.write( "

Algebra.Com's Answer #598941 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "First of all factorise the equation:-
\n" ); document.write( "2x^2 + 9x + 4
\n" ); document.write( "(2x + 1)(x + 4)
\n" ); document.write( "So, x = -1/2 and x = -4
\n" ); document.write( "As this equation is positive (x^2)
\n" ); document.write( "it opens upwards.
\n" ); document.write( "It will cut the x axis at -4 and go
\n" ); document.write( "down and then rise and cut the x axis at -1/2
\n" ); document.write( "before rising above the x axis.
\n" ); document.write( "For 2x^2 + 9x + 4 <0
\n" ); document.write( "We are looking at the part of the curve below
\n" ); document.write( "the x axis.
\n" ); document.write( "This region is defined as:-
\n" ); document.write( "-4 < x < -1/2
\n" ); document.write( "This is the answer.
\n" ); document.write( " Hope this helps:-)
\n" ); document.write( "
\n" );