Question

solve the inequality and graph the solution. -77 ≥ 53 + 65b. plot the endpoints. select an endpoint to move it to the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the term with b

Subtract 53 from both sides.
$-77 - 53\geq53 + 65b-53$
$-130\geq65b$

Step2: Solve for b

Divide both sides by 65.
$\frac{-130}{65}\geq\frac{65b}{65}$
$- 2\geq b$ or $b\leq - 2$

Answer:

The solution of the inequality is $b\leq - 2$. On the number - line, we plot a closed circle at $b = - 2$ (because the inequality is $\leq$) and draw a ray to the left of $-2$ towards negative infinity.