Question 642149
{{{5t+4<12-3t}}} Start with the given inequality.



{{{5t<12-3t-4}}} Subtract {{{4}}} from both sides.



{{{5t+3t<12-4}}} Add {{{3t}}} to both sides.



{{{8t<12-4}}} Combine like terms on the left side.



{{{8t<8}}} Combine like terms on the right side.



{{{t<(8)/(8)}}} Divide both sides by {{{8}}} to isolate {{{t}}}. 



{{{t<1}}} Reduce.



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Answer:


So the solution is {{{t<1}}}