Answer
$[-31,∞)$
Work Step by Step
$14 - (5x-6) \geq -6(x+1)-5$
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.