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QUESTION IMAGE

graph the inequality in the coordinate plane. $x < -4$

Question

graph the inequality in the coordinate plane.
$x < -4$

Explanation:

Step1: Identify boundary line

The boundary of $x < -4$ is the vertical line $x = -4$. Since the inequality is strict ($<$), we use a dashed line.

Step2: Determine shaded region

For $x < -4$, we shade all points where the x-coordinate is less than -4, which is the area to the left of the dashed line $x=-4$.

Answer:

  1. Draw a dashed vertical line passing through $x=-4$ (this line runs parallel to the y-axis, crossing the x-axis at $(-4, 0)$).
  2. Shade the entire region of the coordinate plane that lies to the left of this dashed line.