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3t+1-t<12
Subtract t from both sides.
2t+1<12
Combine 3t and -t to get 2t.
2t<12-1
Subtract 1 from both sides.
2t<11
Subtract 1 from 12 to get 11.
t<\frac{11}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.