document.write( "Question 1040706: solve the inequality below and write the solution in interval notation
\n" ); document.write( "|2m+3|<13 \n" ); document.write( "

Algebra.Com's Answer #655593 by Aldorozos(172) $\"\"$ $\"About$

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When we remove the absolute value we have to add plus and minus to the other side\r
\n" ); document.write( "\n" ); document.write( "Part one
\n" ); document.write( "2m+3 <13 we add -3 to both sides 2m+3-3<13-3 therefore 2m<10 divide both sides by 2 we get m<5\r
\n" ); document.write( "\n" ); document.write( "Part two
\n" ); document.write( "2m+3 <-13 we add -3 to both sides 2m+3-3<-13-3 therefore 2m<-16 divide both sides by 2 we get m<-8\r
\n" ); document.write( "\n" ); document.write( "From the first part we know that me has to be less than five. From the second part we know that m has to be less than -8. If we combine these two statements which means that m has to be less than five and at the same time it has to be less than -8 we conclude that the only way this statement is true is when m is less than -8 since if me is less than -8, it is automatically less than 5\r
\n" ); document.write( "\n" ); document.write( "Here is the answer
\n" ); document.write( "(-infinite, -8) \n" ); document.write( "

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