Answer
$c\gt6$ or $c\leq3$
Work Step by Step
$7-c\lt1\longrightarrow$ subtract 7 from each side
$7-c-7\lt1-7\longrightarrow$ subtract
$-c\lt-6\longrightarrow$ multiply each side by -1; reverse the inequality sign
$-c\times-1\gt-6\times-1\longrightarrow$ multiply
$c\gt6$
or
$4c\leq12\longrightarrow$ divide each side by 4
$4c\div4\leq12\div4\longrightarrow$ divide
$c\leq3$
