Answer
$d\lt-4$
Work Step by Step
$-4(d+5)-3d\gt8$ $\longrightarrow$ 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.
$-4(-5+5)-3(-5)\gt8$
$-4(0)+15\gt8$
$15\gt8\checkmark$
