Choice B is the correct answer. Some inequalities lead to contradictions when simplified.

1. Simplify: Subtract $2x$ from both sides: $2x - 2x + 1 < 2x - 2x - 4$
2. Result: $1 < -4$
3. Contradiction: This is FALSE, so no value of $x$ satisfies this inequality

?�� Strategic Tip: When variables cancel and you're left with a false statement (like $1 < -4$), the inequality has no solution.

Choice A is incorrect because subtracting $x$ gives $5 > 3$, which is ALWAYS true (all real numbers are solutions). Choice C is incorrect because this simplifies to $0 \geq 0$, which is true, so all real numbers work. Choice D is incorrect because subtracting $x$ gives $-2 \leq 1$, always true.