SOLUTION: Solve the inequality. (1/3)x<5+(2/3)x

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Question 39350This question is from textbook INTERMEDIATE ALGEBRA
: Solve the inequality.
(1/3)x<5+(2/3)x This question is from textbook INTERMEDIATE ALGEBRA

Answer by hellyeah(21) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE any equation
Your Result:


YOUR ANSWER


  • Graphical form: %281%2F3%29%2Ax%3C5%2B%282%2F3%29%2Ax simplifies to x%2F3%3C2%2F3%2Ax%2B5
  • Text form: (1/3)*x<5+(2/3)*x simplifies to x/3<2/3*x+5
  • Cartoon (animation) form: simplify_cartoon%28+%281%2F3%29%2Ax%3C5%2B%282%2F3%29%2Ax+%29
    For tutors: simplify_cartoon( (1/3)*x<5+(2/3)*x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+1%2F3+%29%29%2Ax+%29%3C5%2B%282%2F3%29%2Ax.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F3+%29
It becomes highlight_green%28+1+%29%2Fhighlight_green%28+3+%29%2Ax%3C5%2B%282%2F3%29%2Ax.
Look at highlight_red%28+1+%29%2F3%2Ax%3C5%2B%282%2F3%29%2Ax.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes x%2F3%3C5%2B%282%2F3%29%2Ax.
Look at x%2F3%3C5%2Bhighlight_red%28+%28highlight_red%28+2%2F3+%29%29%2Ax+%29.
Remove unneeded parentheses around factor highlight_red%28+2+%29,highlight_red%28+1%2F3+%29
It becomes x%2F3%3C5%2Bhighlight_green%28+2+%29%2Fhighlight_green%28+3+%29%2Ax.
Look at x%2F3%3Chighlight_red%28+5+%29%2B2%2F3%2Ax.
Moved 5 to the right of expression
It becomes x%2F3%3C2%2F3%2Ax%2Bhighlight_green%28+5+%29.
Result: x%2F3%3C2%2F3%2Ax%2B5

Universal Simplifier and Solver


Done!
x/3<2/3*x+5