## Intermediate Algebra (6th Edition)

$[-31,∞)$
$14 - (5x-6) \geq -6(x+1)-5$ Using Distributive Property, $14 - 5x+6 \geq -6x-6-5$ $20 - 5x \geq -6x-11$ Add $6x$ to both sides. $20 - 5x +6x \geq -6x-11+6x$ $20 +x \geq -11$ Add $-20$ to both sides. $20 +x -20 \geq -11-20$ $x \geq -31$ Interval Notation : $[-31,∞)$ The square bracket indicates $-31$ is included in the solution set.