Answer
$w\lt-15$ OR $w\gt9$
Work Step by Step
$|2w+6|\gt24\longrightarrow$ write a compound inequality
$2w+6\lt-24$ OR $2w+6\gt24\longrightarrow$ subtract 6 from all parts
$2w+6-6\lt-24-6$ OR $2w+6-6\gt24-6\longrightarrow$ subtract
$2w\lt-30$ OR $2w\gt18\longrightarrow$ divide all parts by 2
$2w\div2\lt-30\div2$ OR $2w\div2\gt18\div2\longrightarrow$ divide
$w\lt-15$ OR $w\gt9$
