To solve the inequality, we need to isolate the variable x.
First, subtract 4 from both sides of the inequality:
8x + 4 - 4 ≥ 52 - 4
This simplifies to:
8x ≥ 48
Next, divide both sides of the inequality by 8:
(8x)/8 ≥ 48/8
This further simplifies to:
x ≥ 6
Therefore, the solution to the inequality 8x + 4 ≥ 52 is x ≥ 6.