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solve the inequality and graph the solution. p > 3.2 to draw a ray, plo…

Question

solve the inequality and graph the solution.
p > 3.2
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Simplify the right-hand side

First, calculate $3 \cdot 2$:
$3 \cdot 2 = 6$
So the inequality simplifies to $p > 6$.

Step2: Identify the endpoint type

Since the inequality is $>$ (not $\geq$), the endpoint at $p=6$ is an open circle (does not include 6).

Step3: Determine the ray direction

All values greater than 6 satisfy the inequality, so the ray points to the right from 6.

Answer:

The simplified inequality is $p > 6$. To graph it:

  1. Plot an open circle at $p=6$ on the number line.
  2. Draw a ray starting at this open circle and extending to the right (toward values larger than 6).