Question

solve the inequality and graph the solution.
10 ≥ 2(m + 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.
submit

Explanation:

Step1: Simplify the inequality

Divide both sides of \(10\geq2(m + 7)\) by \(2\):
\(\frac{10}{2}\geq\frac{2(m + 7)}{2}\), which simplifies to \(5\geq m+7\).

Step2: Isolate the variable \(m\)

Subtract \(7\) from both sides: \(5-7\geq m+7 - 7\).
So, \(- 2\geq m\) or \(m\leq - 2\).

Answer:

The solution of the inequality is \(m\leq - 2\). On the number - line, we plot a closed circle at \(-2\) (since the inequality is \(\leq\)) and draw a ray to the left of \(-2\).