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solve the inequality and graph the solution. u - 6 ≤ 2 plot the endpoin…

Question

solve the inequality and graph the solution.
u - 6 ≤ 2
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 u

Add 6 to both sides of the inequality $u - 6\leq2$.
$u-6 + 6\leq2 + 6$

Step2: Simplify the inequality

$u\leq8$

Answer:

The solution of the inequality is $u\leq8$. On the number - line, we plot a closed circle at 8 (since the inequality is $\leq$) and draw a ray to the left of 8.