document.write( "Question 1106901: solve the inequality. give the result in set notation and graph it 4<-z-4<11\r
\n" ); document.write( "\n" ); document.write( " would appreciate some kindly heplp \n" ); document.write( "

Algebra.Com's Answer #721902 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "4<-z-4<11

\n" ); document.write( "We need to get \"z\" by itself in the middle of the compound inequality. So at some point we will need to multiply the whole inequality by -1, which means the direction of the inequality changes.

\n" ); document.write( "In this case we can do either of two things first: multiply by -1, or get rid of the \"-4\" in the middle. Let's do it both ways, for practice, and to see that we get the same answer.

\n" ); document.write( " $\"4+%3C+-z-4+%3C+11\"$
\n" ); document.write( " $\"-4+%3E+z%2B4+%3E+-11\"$ multiply by -1; change the direction of the inequality
\n" ); document.write( " $\"-11+%3C+z%2B4+%3C+-4\"$ rewrite the inequality in standard form -- with the lower bound on the left and the upper bound on the right
\n" ); document.write( " $\"-15+%3C+z+%3C+-8\"$ subtract 4 to get z by itself

\n" ); document.write( "OR...

\n" ); document.write( " $\"4+%3C+-z-4+%3C+11\"$
\n" ); document.write( " $\"8+%3C+-z+%3C+15\"$ add 4 to get \"-z\" by itself in the middle
\n" ); document.write( " $\"-8+%3E+z+%3E+-15\"$ multiply by -1 to get z in the middle
\n" ); document.write( " $\"-15+%3C+z+%3C+-8\"$ rewrite in standard form

\n" ); document.write( "You can put the result in set notation and draw the graph yourself.... \n" ); document.write( "

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