document.write( "Question 447772: Can you please help me solve this absolute value inequality?? :)
\n" ); document.write( "| 2x + 1 | + | x - 4 | > 0
\n" ); document.write( "my calculations are :
\n" ); document.write( "|2x + 1| + |x - 4|>0
\n" ); document.write( "|2x+1|>-|x-4|
\n" ); document.write( "square both sides
\n" ); document.write( "4x^2 + 4x + 1 > x^2 - 8x + 16
\n" ); document.write( "...3x^2 + 12x - 15 > 0
\n" ); document.write( "(3x+15)(x-1)>0
\n" ); document.write( "i use quadratic curve and got x<5 , x>1
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #308215 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Consider this: |2x + 1| > 0 for all real values of x except x = -1/2. And |x - 4| > 0 for all x except x = 4. So the sum of these two expressions is ALWAYS greater than zero. The inequality is true for all real values of x.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "

\n" ); document.write( "My calculator said it, I believe it, that settles it
\n" ); document.write( "

$\"The$

\n" ); document.write( " \n" ); document.write( "

\n" );