3
algebra

Which inequality is equivalent to 4x+6<22-4x + 6 < 22?

A

x>4x > -4

B

x<4x < -4

C

x>4x > 4

D

x<4x < 4

Correct Answer: A

Choice A is the correct answer. Isolate xx and reverse the sign.

  1. Subtract 6: 4x<16-4x < 16
  2. Divide by -4: x>4x > -4 (REVERSE the sign!)

?�� Strategic Tip: Dividing by a negative number flips << to >>.

Choice B is incorrect because it fails to reverse the inequality sign. Choice C is incorrect because it uses positive 4 instead of negative 4. Choice D is incorrect because it uses positive 4 and fails to reverse the sign.