Question

solve the inequality and graph the solution.
2(m + 1) > 8
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: Distribute the 2

$2(m + 1)=2m+2$, so the inequality becomes $2m + 2>8$.

Step2: Subtract 2 from both sides

$2m+2 - 2>8 - 2$, which simplifies to $2m>6$.

Step3: Divide both sides by 2

$\frac{2m}{2}>\frac{6}{2}$, resulting in $m > 3$.

Answer:

The solution of the inequality is $m>3$. On the number - line, we use an open circle at $m = 3$ (since $m$ is strictly greater than 3) and draw a ray to the right of 3.