College Algebra (6th Edition)

$(-∞ ,-4)$
Distribute the left side. Then add $8$ and subtract $3x$ on both sides and divide. Remember to flip the sign since both sides are being divided by a negative number. $-4(x+2)\gt3x+20$ $-4x-8\gt3x+20$ $-4x\gt3x+28$ $-7x\gt28$ $x\lt-4$ $(-∞ ,-4)$