Answer
$r\gt3.5$ or $r\leq-2$
Work Step by Step
$4r-3\gt11\longrightarrow$ using the addition property of inequality, add 3 to each side
$4r-3+3\gt11+3\longrightarrow$ add
$4r\gt14\longrightarrow$ using the division property of inequality, divide each side by 4
$4r\div4\gt14\div4\longrightarrow$ divide
$r\gt3.5$
OR
$4r-3\leq-11\longrightarrow$ using the addition property of inequality, add 3 to each side
$4r-3+3\leq-11+3\longrightarrow$ add
$4r\leq-8\longrightarrow$ using the division property of inequality, divide each side by 4
$4r\div4\leq-8\div4\longrightarrow$ divide
$r\leq-2$
