document.write( "Question 104564: 4 + /r+2/ = 7 \n" ); document.write( "
Algebra.Com's Answer #76082 by Fombitz(32388)\"\" \"About 
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\"4+%2B+abs%28r%2B2%29+=+7\"
\n" ); document.write( "\"4+-+4+%2B+abs%28r%2B2%29+=+7+-+4\" Additive inverse of 4.
\n" ); document.write( "\"abs%28r%2B2%29+=+3\" Simplify.
\n" ); document.write( "The absolute value function is defined as
\n" ); document.write( "\"abs%28x%29=x\" if \"x%3E=0\" and
\n" ); document.write( "\"abs%28x%29=-x\" if \"x%3C0\"
\n" ); document.write( "Since we don't know the value of (r+2), we solve for both cases.
\n" ); document.write( "Assume \"%28r%2B2%29%3E=0\", then
\n" ); document.write( "\"abs%28r%2B2%29=r%2B2\"
\n" ); document.write( "\"r%2B2=3\"
\n" ); document.write( "\"r=1\"
\n" ); document.write( "Assume \"%28r%2B2%29%3C0\", then
\n" ); document.write( "\"abs%28r%2B2%29=-%28r%2B2%29\"
\n" ); document.write( "\"-%28r%2B2%29=3\"
\n" ); document.write( "\"-r-2=3\"
\n" ); document.write( "\"-r=5\"
\n" ); document.write( "\"r=-5\"
\n" ); document.write( "Check your answers.
\n" ); document.write( "\"4+%2B+abs%28r%2B2%29+=+7\"
\n" ); document.write( "r=1
\n" ); document.write( "\"4+%2B+abs%281%2B2%29+=+7\"
\n" ); document.write( "\"4+%2B+abs%283%29+=+7\"
\n" ); document.write( "\"4+%2B+3+=+7\"
\n" ); document.write( "\"7+=+7\"
\n" ); document.write( "Good answer.
\n" ); document.write( "r=-5
\n" ); document.write( "\"4+%2B+abs%28-5%2B2%29+=+7\"
\n" ); document.write( "\"4+%2B+abs%28-3%29+=+7\"
\n" ); document.write( "\"4+%2B+3+=+7\"
\n" ); document.write( "\"7+=+7\"
\n" ); document.write( "Good answer.
\n" ); document.write( "
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