Answer
The solution set is $[0, \infty) $.
Work Step by Step
The idea is to isolate x on one side.
Adding, subtracting or multiplying/dividing with a positive number preserves order (the inequality symbol remains).
Multiplying/dividing with a negative number inverts the order (the inequality symbol changes).
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$ 4(x+1)+2 \geq 3x+6\qquad $ ... distribute, simplify
$4x+4+2 \geq 3x+6$
$ 4x+6 \geq 3x+6\qquad $ ... $/-6-3x $
$ x \geq 0$
The solution set is $[0, \infty) $.
