## Algebra 1

$d\lt-4$
$-4(d+5)-3d\gt8$ $\longrightarrow$ multiply using the distributive property $-4d-20-3d\gt8$ $\longrightarrow$ combine like terms $-7d-20\gt8$ $\longrightarrow$ add 20 to both sides $-7d-20+20\gt8+20$ $\longrightarrow$ simplify $-7d\gt28$ $\longrightarrow$ divide both sides by -7; reverse the inequality sign $-7d\div-7\lt28\div-7$ $d\lt-4$ Check the inequality. $-4(-5+5)-3(-5)\gt8$ $-4(0)+15\gt8$ $15\gt8\checkmark$