Question

solve the inequality and graph the solution.
1 ≤ (b + 1)/(-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: Multiply both sides by -2

Multiply both sides of $1\leq\frac{b + 1}{-2}$ by -2. Remember to reverse the inequality sign when multiplying by a negative number. So we get $1\times(-2)\geq b + 1$, which simplifies to $-2\geq b+1$.

Step2: Subtract 1 from both sides

Subtract 1 from both sides of $-2\geq b + 1$. We have $-2-1\geq b$, so $b\leq - 3$.

Answer:

The solution of the inequality is $b\leq - 3$. On the number - line, we plot a closed - circle at $-3$ (because the inequality includes equality, $\leq$) and draw a ray to the left of $-3$.