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QUESTION IMAGE

solve the inequality and graph the solution. k - 1 ≥ 7 plot the endpoin…

Question

solve the inequality and graph the solution.
k - 1 ≥ 7
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable k

Add 1 to both sides of the inequality $k - 1\geq7$.
$k-1 + 1\geq7 + 1$

Step2: Simplify the inequality

$k\geq8$

Answer:

The solution of the inequality is $k\geq8$. On the number - line, we plot a closed circle at 8 (because the inequality is $\geq$) and draw a ray to the right of 8.