Final answer:
The solution to the inequality -8x - 2 ≤ 2 is x ≥ -0.5.
Step-by-step explanation:
To solve the inequality -8x - 2 ≤ 2, we need to isolate the variable x. We can start by adding 2 to both sides of the inequality: -8x - 2 + 2 ≤ 2 + 2, which simplifies to -8x ≤ 4. Next, we divide both sides of the inequality by -8, remembering to flip the inequality symbol since we are dividing by a negative number. This gives us: x ≥ -0.5.
The solution to the inequality is x ≥ -0.5. This means that any value of x greater than or equal to -0.5 will make the inequality true.