4
algebra

If 4x+517-4x + 5 \leq 17, which number line best represents the solution?

A

Closed circle at -3, arrow pointing right

B

Closed circle at -3, arrow pointing left

C

Closed circle at 3, arrow pointing right

D

Closed circle at 3, arrow pointing left

Correct Answer: A

Choice A is the correct answer. Graphing requires solving first, then correctly placing the circle and arrow.

  1. Subtract 5: 4x12-4x \leq 12
  2. Divide by -4: x3x \geq -3 (REVERSE the sign!)
  3. Graph: Closed circle at -3 (includes -3), arrow right (greater than)

?�� Strategic Tip: After dividing by a negative, double-check that you reversed the inequality before graphing.

Choice B is incorrect because while the closed circle at -3 is correct, the arrow points left (representing x3x \leq -3), wrong direction. Choice C is incorrect because the boundary should be -3, not positive 3. Choice D is incorrect because it has both the wrong sign on the boundary and the wrong arrow direction.