\(3t-5
Adding \(4t\) gives \(7t-5<5t-2\leq15\).
Solving \(7t-5<5t-2\) and \(5t-2\leq15\) gives \(t<1.5\) and \(t\leq3.4\), respectively.
Combining these then shows that \(t<1.5\), so therefore in interval notation the answer is \((-\infty,1.5)\).
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