document.write( "Question 917992: solve each inequality. write solution in interval notation
\n" ); document.write( "x/5-x/4 < 1
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Algebra.Com's Answer #558767 by srinivas.g(540)\"\" \"About 
You can put this solution on YOUR website!

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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"%28x%2F5%29-%28x%2F4%29%3C1\" simplifies to \"-x%2F20%3C1\"
  • Text form: (x/5)-(x/4)<1 simplifies to -x/20<1
  • Cartoon (animation) form: \"simplify_cartoon%28+%28x%2F5%29-%28x%2F4%29%3C1+%29\"
    For tutors: simplify_cartoon( (x/5)-(x/4)<1 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+%28x%2F5%29+%29-%28x%2F4%29%3C1\".
Remove unneeded parentheses around terms \"highlight_red%28+x%2F5+%29\"
It becomes \"highlight_green%28+x%2F5+%29-%28x%2F4%29%3C1\".
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Look at \"x%2F5-highlight_red%28+%28x%2F4%29+%29%3C1\".
Remove unneeded parentheses around terms \"highlight_red%28+-x%2F4+%29\"
It becomes \"x%2F5-highlight_green%28+x%2F4+%29%3C1\".
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Look at \"highlight_red%28+x%2F5+%29-highlight_red%28+x%2F4+%29%3C1\".
Eliminated similar terms \"highlight_red%28+x%2F5+%29\",\"highlight_red%28+-x%2F4+%29\" replacing them with \"highlight_green%28+%281%2F5-1%2F4%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2F5-1%2F4%29%2Ax+%29%3C1\".
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Look at \"%28highlight_red%28+1%2F5+%29-highlight_red%28+1%2F4+%29%29%2Ax%3C1\".
Added fractions or integers together
It becomes \"%28-highlight_green%28+1%2F20+%29%29%2Ax%3C1\".
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Look at \"highlight_red%28+%28-highlight_red%28+1%2F20+%29%29%2Ax+%29%3C1\".
Remove unneeded parentheses around factor \"highlight_red%28+1+%29\",\"highlight_red%28+1%2F20+%29\"
It becomes \"-highlight_green%28+1+%29%2Fhighlight_green%28+20+%29%2Ax%3C1\".
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Look at \"-highlight_red%28+1+%29%2F20%2Ax%3C1\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"-x%2F20%3C1\".
Result: \"-x%2F20%3C1\"
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "hence -x/20 <1
\n" ); document.write( " multiply with -1 on both sides
\n" ); document.write( " -1* -x/20 <-1*1
\n" ); document.write( " x/20>-1
\n" ); document.write( " x>-20
\n" ); document.write( "solution is x is any number more than -20
\n" ); document.write( " x = (-20 ,infinity) \n" ); document.write( "
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