Question

solve the inequality and graph the solution.
1 ≥ (m - 1)/(-3)
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 -3

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $1\times(- 3)\leq\frac{m - 1}{-3}\times(-3)$, which gives $-3\leq m - 1$.

Step2: Add 1 to both sides

Adding 1 to both sides of the inequality $-3\leq m - 1$ to isolate $m$. We get $-3 + 1\leq m-1 + 1$, which simplifies to $-2\leq m$ or $m\geq - 2$.

Answer:

The solution of the inequality is $m\geq - 2$. On the number - line, we plot a closed circle at $m=-2$ (because the inequality is $\geq$) and draw a ray to the right of $-2$ towards positive infinity.