Question

solve the inequality and graph the solution. 4 ≥ \frac{u}{8}+3 to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Isolate the fraction

Subtract 3 from both sides of the inequality $4\geq\frac{u}{8}+3$.
$4 - 3\geq\frac{u}{8}+3 - 3$, which simplifies to $1\geq\frac{u}{8}$.

Step2: Solve for u

Multiply both sides of the inequality $1\geq\frac{u}{8}$ by 8.
$1\times8\geq\frac{u}{8}\times8$, so $u\leq8$.

To graph the solution:

• The endpoint is at $u = 8$. Since the inequality is $u\leq8$, the endpoint is a closed - circle.
• The ray extends to the left (towards smaller values of $u$).

Answer:

The solution of the inequality is $u\leq8$. On the number - line, there is a closed circle at 8 and a ray pointing to the left.