SOLUTION: solve each inequality. write solution in interval notation x/5-x/4 < 1 -

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Question 917992: solve each inequality. write solution in interval notation
x/5-x/4 < 1
-

Answer by srinivas.g(540)   (Show Source): You can put this solution on YOUR website!

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YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (x/5)-(x/4)<1 simplifies to -x/20<1
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (x/5)-(x/4)<1 )
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DETAILED EXPLANATION


Look at .
Remove unneeded parentheses around terms highlight_red%28+x%2F5+%29
It becomes .

Look at .
Remove unneeded parentheses around terms highlight_red%28+-x%2F4+%29
It becomes .

Look at .
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 .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F20+%29
It becomes .

Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!


hence -x/20 <1
multiply with -1 on both sides
-1* -x/20 <-1*1
x/20>-1
x>-20
solution is x is any number more than -20
x = (-20 ,infinity)

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