4
algebra

Solve: 4x+134x + 1 \leq -3 or x51x - 5 \geq 1

A

x1x \leq -1 or x6x \geq 6

B

x1x \leq -1 or x4x \geq -4

C

1x6-1 \leq x \leq 6

D

x4x \leq -4 or x6x \geq 6

Correct Answer: A

Choice A is the correct answer. Solve independently.

  1. First: 4x4x14x \leq -4 \rightarrow x \leq -1
  2. Second: x6x \geq 6
  3. Combine: x1x \leq -1 or x6x \geq 6

?�� Strategic Tip: "Or" inequalities usually result in two separate regions.

Choice B is incorrect because it solves the second part incorrectly. Choice C is incorrect because it tries to combine disjoint sets with "and". Choice D is incorrect because it solves the first part incorrectly.