document.write( "Question 988988: Solve: | | 3x+7| | <6
\n" ); document.write( "The answer I got were x<4,x>14 but I don't know how I to write it. Please let me know if my answer iscorrect \n" ); document.write( "

Algebra.Com's Answer #609440 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+abs%28+3x+%2B+7+%29+%3C+6+\"$
\n" ); document.write( "I know the left side cannot be negative,
\n" ); document.write( "since it's an absolute value, so both
\n" ); document.write( "these must be true:
\n" ); document.write( " $\"+abs%28+3x+%2B+7+%29+%3E=+0+\"$
\n" ); document.write( " $\"+abs%28+3x+%2B+7+%29+%3C+6+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Suppose $\"+abs%28+3x+%2B+7+%29+=+0+\"$ , then
\n" ); document.write( " $\"+x+=+-7%2F3+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Suppose $\"+abs%28+3x+%2B+7+%29+%3C6+\"$ ,
\n" ); document.write( "(1) $\"+3x+%2B+7+%3C+-6+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+3x+%2B+7+%3C+6+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(1) $\"+3x+%3C+-6+-+7+\"$
\n" ); document.write( "(1) $\"+3x+%3C+-13+\"$
\n" ); document.write( "(1) $\"+x+%3C+-13%2F3+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(2) $\"+3x+%3C+6+-7+\"$
\n" ); document.write( "(2) $\"+3x+%3C+-1+\"$
\n" ); document.write( "(2) $\"+x+%3C+-1%2F3+\"$
\n" ); document.write( "------------------
\n" ); document.write( "I have 3 equations now:
\n" ); document.write( " $\"+x+=+-7%2F3+\"$
\n" ); document.write( " $\"+x+%3C+-13%2F3+\"$
\n" ); document.write( " $\"+x+%3C+-1%2F3+\"$
\n" ); document.write( "all of which must be true
\n" ); document.write( " $\"+x+%3C+-1%2F3+\"$ includes all three, so
\n" ); document.write( "that is my answer\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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