document.write( "Question 198473: Hi!\r
\n" ); document.write( "\n" ); document.write( "Solve the inequality and express the solution using the interval notation.\r
\n" ); document.write( "\n" ); document.write( "abs(2x+1)> 1\r
\n" ); document.write( "\n" ); document.write( "thanks! \n" ); document.write( "

Algebra.Com's Answer #148995 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
abs(2x+1)> 1
\n" ); document.write( "====================
\n" ); document.write( "Since x is a variable value,
\n" ); document.write( "2x+1 might be positive or it might be negative.
\n" ); document.write( "----------------
\n" ); document.write( "If it is positive you get:
\n" ); document.write( "(2x+1) > 1
\n" ); document.write( "2x > 0
\n" ); document.write( "x > 0
\n" ); document.write( "--------------
\n" ); document.write( "If it is negative you get:
\n" ); document.write( "-(2x+1) > 1
\n" ); document.write( "2x+1 < -1
\n" ); document.write( "2x < -2
\n" ); document.write( "x < -1
\n" ); document.write( "---------------
\n" ); document.write( "So your solution is x < -1 OR x > 0
\n" ); document.write( "---
\n" ); document.write( "Using interval notation:
\n" ); document.write( "(-inf,-1) U (0,+inf)
\n" ); document.write( "==============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );