document.write( "Question 15863: What rules are similar in solving inequalities and equations? What are the differences? \n" ); document.write( "
Algebra.Com's Answer #7804 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! As I always explain, there are THREE rules for solving inequalities, as I explain in my Basic Algebra: One Step at a Time. I'm not sure if I have a lesson plan for this in algebra.com, but here is the rule anyway from my own website under Basic Algebra, Samples of Basic Algebra, Chapter 1, Section 1.11 Inequalities. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " RULES FOR INEQUALITIES\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Rule #1 If any number is added or subtracted from each side of an inequality, then the inequality sign remains the same.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Rule #2 If each side of an inequality is multiplied or divided by a positive number, then the inequality sign remains the same.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Rule #3 If each side of an inequality is multiplied or divided by a negative number, then the inequality sign must be reversed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These rules are the same for EQUATIONS as for INEQUALITIES, EXCEPT for RULE #3, about multiplying or dividing both sides of an INEQUALITY by a NEGATIVE number. YOU MUST REVERSE THE INEQUALITY SIGN. Thet's the difference.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ru\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |