Choice A is the correct answer. Sometimes variables cancel out, leaving a false statement.

1. Distribute: $3x - 3 + x \geq 4x + 2$
2. Combine like terms: $4x - 3 \geq 4x + 2$
3. Subtract 4x: $-3 \geq 2$
4. Interpret: This statement is FALSE. -3 is never greater than or equal to 2.
5. Conclusion: There is no value of $x$ that makes this true.

?�� Strategic Tip: If variables cancel and the remaining statement is false (e.g., $-3 \geq 2$), there is NO solution. If true (e.g., $5 \geq 2$), the solution is All Real Numbers.

Choice B is incorrect because the resulting statement $-3 \geq 2$ is false. Choice C is incorrect because it assumes variables don't cancel. Choice D is incorrect because it assumes variables don't cancel.