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QUESTION IMAGE

graph the inequality below on the number line. y≤4

Question

graph the inequality below on the number line.
y≤4

Explanation:

Step1: Identify the boundary value

The inequality $y \leq 4$ has a boundary at $y=4$.

Step2: Choose the correct point type

Since the inequality includes equality ($\leq$), use a filled (closed) dot at $4$ on the number line.

Step3: Determine the direction of shading

The inequality means $y$ is less than or equal to 4, so shade all values to the left of 4 (towards negative infinity) on the number line.

Answer:

  1. Place a closed (filled) dot at the number 4 on the provided number line.
  2. Draw a solid arrow extending from the filled dot to the left, covering all numbers less than 4.