document.write( "Question 442129: how would you solve |x+5| > 3 ?
\n" ); document.write( "I can't remember how to do disjunctions and my book isn't helping me. \n" ); document.write( "

Algebra.Com's Answer #314368 by woolybear(13) $\"\"$ $\"About$

You can put this solution on YOUR website!
|x+5|>3\r
\n" ); document.write( "\n" ); document.write( "Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x.
\n" ); document.write( "x+5>\(3)\r
\n" ); document.write( "\n" ); document.write( "Set up the + portion of the \ solution.
\n" ); document.write( "x+5>3\r
\n" ); document.write( "\n" ); document.write( "Move all terms not containing x to the right-hand side of the inequality.
\n" ); document.write( "x>-2\r
\n" ); document.write( "\n" ); document.write( "Set up the - portion of the \ solution. When solving the - portion of an inequality, flip the direction of the inequality sign.
\n" ); document.write( "x+5<-(3)\r
\n" ); document.write( "\n" ); document.write( "Multiply -1 by the 3 inside the parentheses.
\n" ); document.write( "x+5<-3\r
\n" ); document.write( "\n" ); document.write( "Since 5 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 5 from both sides.
\n" ); document.write( "x<-5-3\r
\n" ); document.write( "\n" ); document.write( "Subtract 3 from -5 to get -8.
\n" ); document.write( "x<-8\r
\n" ); document.write( "\n" ); document.write( "The solution to the inequality includes both the positive and negative versions of the absolute value.
\n" ); document.write( "x>-2 or x<-8 \n" ); document.write( "

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