4
algebra

If 93x<09 - 3x < 0, what is the solution?

A

x<3x < 3

B

x>3x > 3

C

x<3x < -3

D

x>3x > -3

Correct Answer: B

Choice B is the correct answer. Isolating negative variable terms requires careful sign management.

  1. Subtract 9: 93x9<099 - 3x - 9 < 0 - 9, giving 3x<9-3x < -9
  2. Divide by -3: 3x3>93\frac{-3x}{-3} > \frac{-9}{-3} (REVERSE the sign!)
  3. Simplify: x>3x > 3

?�� Strategic Tip: Dividing both sides by a negative coefficient ALWAYS reverses the inequality direction.

Choice A is incorrect because it fails to reverse the inequality when dividing by -3. Choice C is incorrect because it uses the wrong sign on the boundary value. Choice D is incorrect because while it reverses the sign correctly, the boundary value should be 3, not -3.