document.write( "Question 13510: 3- absolute value of 2x+4 greater than or equal to 1 \n" ); document.write( "

Algebra.Com's Answer #6831 by rahman(247) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3-abs%282x%2B4%29%3E=1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"abs%282x%2B4%29\"$ =
\n" ); document.write( "(i) 2x + 4; where $\"2x%2B4%3E=0\"$ or $\"x%3E=-2\"$
\n" ); document.write( "(ii) -(2x+4); where $\"2x%2B4%3C0\"$ or $\"x%3C-2\"$ \r
\n" ); document.write( "\n" ); document.write( "Case (i):\r
\n" ); document.write( "\n" ); document.write( " $\"3-%282x%2B4%29%3E=1\"$ ; where $\"x%3E=-2\"$
\n" ); document.write( " $\"3-2x-4%3E=1\"$
\n" ); document.write( " $\"-2x%3E=1%2B4-3\"$
\n" ); document.write( " $\"-2x%3E=2\"$
\n" ); document.write( " $\"%28-2x%29%2F%28-2%29%3C=2%2F%28-2%29\"$
\n" ); document.write( " $\"x%3C=-1\"$
\n" ); document.write( "Solution for this case is $\"-2%3C=x%3C=-1\"$ \r
\n" ); document.write( "\n" ); document.write( "Case (ii):\r
\n" ); document.write( "\n" ); document.write( " $\"3-%28-%282x%2B4%29%29%3E=1\"$ ; where $\"x%3C-2\"$
\n" ); document.write( " $\"3%2B%282x%2B4%29%3E=1\"$
\n" ); document.write( " $\"3%2B2x%2B4%3E=1\"$
\n" ); document.write( " $\"2x%2B4%2B3%3E=1\"$
\n" ); document.write( " $\"2x%2B7%3E=1\"$
\n" ); document.write( " $\"2x%3E=1-7\"$
\n" ); document.write( " $\"2x%3E=-6\"$
\n" ); document.write( " $\"2x%2F2%3E=-6%2F2\"$
\n" ); document.write( " $\"x%3E=-3\"$
\n" ); document.write( "Solution for this case is $\"-3%3C=x%3C-2\"$ \r
\n" ); document.write( "\n" ); document.write( "Combine case (i) and (ii), so: $\"-3%3C=x%3C=-1\"$ \r
\n" ); document.write( "\n" ); document.write( "OK\r
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