document.write( "Question 1081810: Does 3 >= -6 equal o >= -9 ... if so why???? Would you divide both sides by 3....and if so...WHY????..... it has no variable left at this point. Please explain if there is a rule....do you look for factors???
\n" ); document.write( " How far do you break down an inequality???? These inequalities have different all real number sets. I have been given different answers on this.\r
\n" ); document.write( "\n" ); document.write( "Original problem.... 3(1-x) >= -3(x+2)
\n" ); document.write( "

Algebra.Com's Answer #695877 by MathTherapy(10556)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Does 3 >= -6 equal o >= -9 ... if so why???? Would you divide both sides by 3....and if so...WHY????..... it has no variable left at this point. Please explain if there is a rule....do you look for factors???
\n" ); document.write( " How far do you break down an inequality???? These inequalities have different all real number sets. I have been given different answers on this.\r
\n" ); document.write( "\n" ); document.write( "Original problem.... 3(1-x) >= -3(x+2)
\n" ); document.write( "
If you have an inequality that contains a variable, then you need to solve for that variable. When a value is obtained for that variable,
\n" ); document.write( "that value should be substituted into the ORIGINAL INEQUALITY to determine if that value SATISFIES or makes the INEQUALITY TRUE.\r
\n" ); document.write( "\n" ); document.write( "In this case, the variable x DISAPPEARS (resulted in a value of 0) from the left side of the INEQUALITY, in which case, you need to determine if the INEQUALITY is TRUE.
\n" ); document.write( "Let's look at this inequality.
\n" ); document.write( "\"3%281+-+x%29+%3E=+-+3%28x+%2B+2%29\"
\n" ); document.write( "\"3+-+3x+%3E=+-+3x+-+6\" ------- Distributing
\n" ); document.write( "\"-+3x+%2B+3x+%3E=+-+6+-+3\" ----- COLLECTING like-terms
\n" ); document.write( "Final answer: \"0+%3E=+-+9\". Is this TRUE? Yes, it is, and so, ANY VALUE that is given to x will ALWAYS, ALWAYS make this inequality TRUE. \n" ); document.write( "
\n" );