Algebra 1

$t\leq5$
$2(t+2)-3t\geq-1$ $\longrightarrow$ 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 $t\leq5$