Choice A is the correct answer. Solve for $x$ and identify the integer constraint.

1. Distribute: $-3x + 12 \geq 2x + 7$
2. Add 3x: $12 \geq 5x + 7$
3. Subtract 7: $5 \geq 5x$
4. Divide by 5: $1 \geq x$, or $x \leq 1$
5. Maximum Integer: The largest integer satisfying $x \leq 1$ is 1.

?�� Strategic Tip: Be careful with signs: $-3(-4) = +12$. Also, $x \leq 1$ includes 1.

Choice B is incorrect because 0 is a solution, but not the maximum (1 is larger). Choice C is incorrect because -1 is a solution, but not the maximum. Choice D is incorrect because 5 is not a solution ($5 > 1$).