document.write( "Question 1009071: Solve the inequality: x + 14 < -11 \n" ); document.write( "
Algebra.Com's Answer #624614 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! x + 14 < -11\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 14-14 < -11-14 ... subtract 14 from both sides\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 0 < -25\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x < -25\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The solution is x < -25\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you need to graph x < -25 on a number line, you follow these steps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 1) draw out a number line. I would go by 5s so that you can fit -25, 0 and 25 on it\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 2) plot an open circle at -25 on the number line\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 3) Shade to the left of the open circle\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: the open circle is used to exclude -25 from the solution set. We shade left because of the \"<\" sign. The shaded region is the solution set. It's the set of values that makes each inequality shown above true. \n" ); document.write( " |