## Algebra 1

$r\gt3.5$ or $r\leq-2$
$4r-3\gt11\longrightarrow$ 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 $r\leq-2$