document.write( "Question 92655: Solve and graph the solution set
\n" ); document.write( "x + 11 > –5
\n" ); document.write( "

Algebra.Com's Answer #67969 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
Given the inequality:
\n" ); document.write( ".
\n" ); document.write( "\"x+%2B+11+%3E+-5\"
\n" ); document.write( ".
\n" ); document.write( "You can work these following the same procedures as you do for equations with one exception. That
\n" ); document.write( "exceptions is that if you ever have to multiply or divide both sides by a negative number, then
\n" ); document.write( "you also need to reverse the direction of the inequality sign. In this problem you do not
\n" ); document.write( "need to use this rule.
\n" ); document.write( ".
\n" ); document.write( "To solve this for x you need to get rid of the +11 on the left side. Do this by subtracting
\n" ); document.write( "11 from both sides. When you do that the inequality becomes:
\n" ); document.write( ".
\n" ); document.write( "\"x+%3E+-11+-5\"
\n" ); document.write( ".
\n" ); document.write( "On the right side you can combine the -11 and the -5 to get -16 and the inequality
\n" ); document.write( "becomes:
\n" ); document.write( ".
\n" ); document.write( "\"x+%3E+-16\"
\n" ); document.write( ".
\n" ); document.write( "That means that x must be greater than -16. You can translate this to mean that on a number
\n" ); document.write( "line x can be any value that is to the right of the point -16. You show this by making a
\n" ); document.write( "point at -16 and you make the number line a heavy bar from the right of this point all the
\n" ); document.write( "way through 0 and on towards +infinity. Note that you must indicate that x cannot include
\n" ); document.write( "the point -16. Values of x must be to the right of -16.
\n" ); document.write( ".
\n" ); document.write( "Hope this helps you to understand the problem.
\n" ); document.write( ".
\n" ); document.write( "
\n" ); document.write( "
\n" );