To solve the inequality 4x + 6 < -6, we can subtract 6 from both sides to isolate the variable:
4x + 6 - 6 < -6 - 6
4x < -12
Then, we divide both sides by 4 to solve for x:
(4x)/4 < (-12)/4
x < -3
Therefore, the solution to the inequality 4x + 6 < -6 is x < -3.