Question 325465


{{{t+1/27>(8/9)t}}} Start with the given inequality.



{{{27(t+1/cross(27))>27((8/cross(9))t)}}} Multiply both sides by the LCD {{{27}}} to clear any fractions.



{{{27t+1>24t}}} Distribute and multiply.



{{{27t>24t-1}}} Subtract {{{1}}} from both sides.



{{{27t-24t>-1}}} Subtract {{{24t}}} from both sides.



{{{3t>-1}}} Combine like terms on the left side.



{{{t>(-1)/(3)}}} Divide both sides by {{{3}}} to isolate {{{t}}}. 



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Answer:


So the solution is {{{t>-1/3}}}