Question 251536

{{{(7/4)(3x-1/2)-4/3<5/3}}} Start with the given inequality.



{{{(21/4)x-7/8-4/3<5/3}}} Distribute.



{{{24((21/cross(4))x-7/cross(8)-4/cross(3))<24(5/cross(3))}}} Multiply both sides by the LCD {{{24}}} to clear any fractions.



{{{126x-21-32<40}}} Distribute and multiply.



{{{126x-53<40}}} Combine like terms on the left side.



{{{126x<40+53}}} Add {{{53}}} to both sides.



{{{126x<93}}} Combine like terms on the right side.



{{{x<(93)/(126)}}} Divide both sides by {{{126}}} to isolate {{{x}}}. 



{{{x<31/42}}} Reduce.



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Answer:


So the solution is {{{x<31/42}}}