Question

solve the inequality and graph the solution.
\frac{a - 1}{7}geq1
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: Multiply both sides by -7

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{a}{-7}\geq1$ becomes $a\leq - 7$.

Step2: Graph the solution

On the number - line, we mark a closed - circle at $a = - 7$ (because the inequality is $\leq$) and draw a ray to the left of $-7$.

Answer:

The solution of the inequality is $a\leq - 7$. On the number - line, mark a closed - circle at $-7$ and draw a ray to the left.