Answer
$d\geq2$ or $d\lt2$
Work Step by Step
$4d+5\geq13\longrightarrow$ subtract 5 from each side
$4d+5-5\geq13-5\longrightarrow$ subtract
$4d\geq8\longrightarrow$ divide each side by 4
$4d\div4\geq8\div4\longrightarrow$ divide
$d\geq2$
or
$7d-2\lt12\longrightarrow$ add 2 to each side
$7d-2+2\lt12+2\longrightarrow$ add
$7d\lt14\longrightarrow$ divide each side by 7
$7d\div7\lt14\div7\longrightarrow$ divide
$d\lt2$
Since d is either less than, equal to, or greaater than 2, the solution set for d is all real numbers.
