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QUESTION IMAGE

solve the inequality and graph the solution. 2n + 4 ≥ 2. plot the endpo…

Question

solve the inequality and graph the solution. 2n + 4 ≥ 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

Subtract 4 from both sides of the inequality $2n + 4\geq2$.
$2n+4 - 4\geq2 - 4$
$2n\geq - 2$

Step2: Solve for n

Divide both sides of the inequality by 2.
$\frac{2n}{2}\geq\frac{-2}{2}$
$n\geq - 1$

Answer:

The solution of the inequality is $n\geq - 1$. On the number - line, the endpoint at $n = - 1$ should be a closed circle (since the inequality is $\geq$) and the line should extend to the right.