Question

solve the inequality and graph the solution.
4 < 6 - p
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: Subtract 6 from both sides

$4 - 6 < 6 - p - 6$
$-2 < -p$

Step2: Multiply by -1, reverse inequality

$(-2) \times (-1) > (-p) \times (-1)$
$2 > p$ or $p < 2$

Step3: Graph the solution

On the number line, plot an open circle at $2$, then draw an arrow pointing left (towards values less than 2).

Answer:

The solution to the inequality is $p < 2$. For the graph: place an open endpoint at 2 on the number line, and draw an arrow extending to the left (towards negative infinity) to represent all values less than 2.