## Algebra 1

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