document.write( "Question 75680This question is from textbook Algebra 1
\n" ); document.write( ": 1.) k+1/2 < k/4+2 When solved the inequality k was = to 0, so the variable was 0! \n" ); document.write( "

Algebra.Com's Answer #54362 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"k%2B1%2F2+%3C+k%2F4%2B2\"$
\n" ); document.write( " $\"4%28k%2B1%2Fcross%282%29%29+%3C+cross%284%29%28k%2Fcross%284%29%2B2%29\"$ Multiply both sides by 4 (this is the LCD). This clears any denominators
\n" ); document.write( " $\"4k%2B2%3Ck%2B8\"$
\n" ); document.write( " $\"3k%2B2%3C8\"$ Subtract k from both sides
\n" ); document.write( " $\"3k%3C6\"$ Subtract 2 from both sides
\n" ); document.write( " $\"k%3C2\"$ Divide both sides by 3. This is your solution set
\n" ); document.write( "If you want the answer in interval notation it is:
\n" ); document.write( "

\n" ); document.write( "I'm not sure where you got an answer of 0 from, so double check your steps or tell me if I translated something wrong.
\n" ); document.write( "

\n" ); document.write( "Check:
\n" ); document.write( "To test our solution set, pick any number that is less than 2 and plug it into k
\n" ); document.write( " $\"1%2B1%2F2+%3C+1%2F4%2B2\"$ Let k=1
\n" ); document.write( " $\"2%2F2%2B1%2F2+%3C+1%2F4%2B8%2F4\"$
\n" ); document.write( " $\"3%2F2+%3C+9%2F4\"$
\n" ); document.write( " $\"3%2F2+%3C+9%2F4\"$
\n" ); document.write( " $\"1.5%3C2.25\"$ works. \n" ); document.write( "

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