Answer
$t\geq1\frac{4}{5}$
Work Step by Step
$3(2+t)\geq15-2t\longrightarrow$ multiply using the distributive property
$6+3t\geq15-2t\longrightarrow$ add 2t to each side
$6+3t+2t\geq15-2t+2t\longrightarrow$ add
$6+5t\geq15\longrightarrow$ subtract 6 from each side
$6+5t-6\geq15-6\longrightarrow$ subtract
$5t\geq9\longrightarrow$ divide both sides by 5
$5t\div5\geq9\div5\longrightarrow$ divide
$t\geq1\frac{4}{5}$