solve the inequality.\n2(4 + 2x)≥5x + 5\nx≤-2\nx≥-2\nx≤3\nx≥3

Explanation:

Step1: Expand the left - hand side

$$2(4 + 2x)=8+4x$$ The inequality becomes $8 + 4x\geq5x + 5$.

Step2: Move the terms with (x) to one side

Subtract (4x) from both sides: $8\geq5x+5 - 4x$, which simplifies to $8\geq x + 5$.

Step3: Solve for (x)

Subtract (5) from both sides: $8-5\geq x$, so $x\leq3$.

Answer:

C. (x\leq3)