Answer
$n\geq1$
Work Step by Step
$4(3n-1)\geq2(n+3)\longrightarrow$ multiply using the distributive property
$12n-4\geq2n+6\longrightarrow$ subtract 2n from each side
$12n-4-2n\geq2n+6-2n\longrightarrow$ subtract
$10n-4\geq6\longrightarrow$ add 4 to each side
$10n-4+4\geq6+4\longrightarrow$ add
$10n\geq10\longrightarrow$ divide each side by 10
$10n\div10\geq10\div10\longrightarrow$ divide
$n\geq1$
