help me

Steps:

\(\frac{1}{3}t-5

$\frac{1}{3}t-5<\:t-2\quad \::\:t>\:-\frac{9}{2}$

$t-2\le -3t+7\:\:\:\:\:\::\:t\le \frac{9}{4}$

$​​t>-\frac{9}{2}\quad \mathrm{and}\quad \:t\le \frac{9}{4}$

\(-\frac{9}{2}

$\:(-\frac{9}{2},\:\frac{9}{4}]$

Hope this helps!