6
algebra

Which point is NOT a solution to y3x1y \geq 3x - 1?

A

(0,2)(0, -2)

B

(1,2)(1, 2)

C

(2,6)(2, 6)

D

(0,0)(0, 0)

Correct Answer: A

Choice A is the correct answer. Test each point. We want the one that makes the inequality FALSE.

  1. Test (0, -2): 23(0)121-2 \geq 3(0) - 1 \rightarrow -2 \geq -1. This is FALSE. (-2 is smaller than -1). So this is the answer.
  2. Test (1, 2): 23(1)1222 \geq 3(1) - 1 \rightarrow 2 \geq 2. True.
  3. Test (2, 6): 63(2)1656 \geq 3(2) - 1 \rightarrow 6 \geq 5. True.
  4. Test (0, 0): 03(0)1010 \geq 3(0) - 1 \rightarrow 0 \geq -1. True.

?�� Strategic Tip: Always watch for "NOT" in the question stem.

Choice B is incorrect because it is a solution. Choice C is incorrect because it is a solution. Choice D is incorrect because it is a solution.