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solve the inequality and graph the solution. 9 > 5 - 2k to draw a ray, …

Question

solve the inequality and graph the solution.
9 > 5 - 2k
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.
-5 -4 -3 -2 -1 0 1 2 3 4 5
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Explanation:

Step1: Subtract 5 from both sides

$9 - 5 > 5 - 2k - 5$ → $4 > -2k$

Step2: Divide by -2 (reverse inequality)

$\frac{4}{-2} < \frac{-2k}{-2}$ → $-2 < k$ (or $k > -2$)

Step3: Graph the solution

Open circle at $k=-2$ (since inequality is >, not ≥), arrow right.

Answer:

$k > -2$
(Graph: Open circle at -2, arrow pointing right)