document.write( "Question 1207731: Explain why the equation |x| > -1/2 has all real number solutions.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #845767 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Explain why the equation |x| > -1/2 has all real number solutions. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Left side is always positive or zero;\r \n" ); document.write( "\n" ); document.write( "right side is negative.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "All positive real numbers or zero is/are greater than any negative number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, this inequality is valid for all real numbers x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved in full and explained completely.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "////////////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Comment from student: So, can we generally say that |expression| > negative number is always valid for all real numbers x?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "My response: Yes, it is true.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |