Answer
$4.4\geq t$
Work Step by Step
$-2(0.5-4t)\geq-3(4-3.5t)\longrightarrow$ multiply using the distributive property
$-1+8t\geq-12+10.5t\longrightarrow$ subtract 8t from each side
$-1+8t-8t\geq-12+10.5t-8t\longrightarrow$subtract
$-1\geq-12+2.5t\longrightarrow$ add 12 to each side
$-1+12\geq-12+2.5t+12\longrightarrow$ add
$11\geq2.5t\longrightarrow$ divide each side by 2.5
$11\div2.5\geq2.5t\div2.5\longrightarrow$ divide
$4.4\geq t$
