Question

solve the inequality and graph the solution.
b + 6 ≥ 10
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: Isolate the variable b

Subtract 6 from both sides of the inequality $b + 6\geq10$.
$b+6 - 6\geq10 - 6$

Step2: Simplify the inequality

$b\geq4$

To graph the solution:

• The endpoint is at $b = 4$. Since the inequality is $\geq$, the endpoint is a closed - circle.
• The solution set includes all values of $b$ that are greater than or equal to 4, so we draw a ray starting at 4 and extending to the right.

Answer:

The solution of the inequality is $b\geq4$. On the number - line, place a closed circle at 4 and draw a ray to the right of 4.