Answer
$t\leq5$
Work Step by Step
$2(t+2)-3t\geq-1\longrightarrow$ multiply using the distributive property
$2t+4-3t\geq-1\longrightarrow$ combine like terms
$-t+4\geq-1\longrightarrow$ subtract 4 from each side
$-t+4-4\geq-1-4\longrightarrow$ subtract
$-t\geq-5\longrightarrow$ multiply each side by -1; reverse the inequality sign
$-t\times-1\leq-5\times-1\longrightarrow$ multiply
$t\leq5$
