Answer
$p\geq1$
Work Step by Step
$6-3p\leq4-p\longrightarrow$ add p to each side
$6-3p+p\leq4-p+p\longrightarrow$ add
$6-2p\leq4\longrightarrow$ subtract 6 from each side
$6-2p-6\leq4-6\longrightarrow$ subtract
$-2p\leq-2\longrightarrow$ divide both sides by -2; reverse the inequality sign
$-2p\div-2\geq-2\div-2\longrightarrow$ divide
$p\geq1$