Answer
$[-1,∞)$
Work Step by Step
$5x+3 \geq 2+4x$
Using inequality addition property, add -3 on both sides, the result is an equivalent inequality.
$5x+3 -3 \geq 2+4x-3$
$5x \geq 4x-1$
Add $-4x$ on both sides,
$5x-4x \geq 4x-1-4x$
$x \geq -1$
Interval Notation: $[-1,∞)$