Answer
$t\leq5$
Work Step by Step
$2(t+2)-3t\geq-1$ $\longrightarrow$ multiply according to the distributive property
$2t+4-3t\geq-1$ $\longrightarrow$ combine like terms
$-t+4\geq-1$ $\longrightarrow$subtract 4 from both sides
$-t+4-4\geq-1-4$ $\longrightarrow$ simplify
$-t\geq-5$ $\longrightarrow$ multiply both sides by -1; reverse the inequality sign
$-t(-1)\leq-5(-1)$ $\longrightarrow$ simplify
$t\leq5$
