document.write( "Question 1199048: -7x+14>-3x-6 \n" ); document.write( "

Algebra.Com's Answer #832752 by ikleyn(52797) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "As I understand, your task is to solve this inequality\r\n" );
document.write( "\r\n" );
document.write( "    -7x + 14 > -3x - 6\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "             +--------------------+\r\n" );
document.write( "             |   The steps are:   |\r\n" );
document.write( "             +--------------------+\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(1)  add 7x to both sides. You will get an EQUIVALENT inequality after combining like terms\r\n" );
document.write( "\r\n" );
document.write( "     14 > 4x - 6.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(2)  add 6 to both sides.   You will get an EQUIVALENT inequality after combining like terms\r\n" );
document.write( "\r\n" );
document.write( "     20 > 4x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(3)  Divide by 4 both sides.     You will get an EQUIVALENT inequality \r\n" );
document.write( "\r\n" );
document.write( "     20/4 > x,  or,  which is the same  x < 5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is your ANSWER:  x < 5.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "The solution is completed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you want to learn on how to solve such inequalities, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Solving simple and simplest linear inequalities \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Consider this lesson as your textbook, handbook, tutorials and (free of charge) home teacher.
\n" ); document.write( "Read it attentively and learn how to solve this type of problems once and for all.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );