Question

solve the inequality and graph the solution.\\(\frac{u - 9}{2} > -5\\)\
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: Eliminate denominator

Multiply both sides by 2:
$$2 \times \frac{u - 9}{2} > -5 \times 2$$

Step2: Simplify both sides

Simplify to isolate linear term:
$$u - 9 > -10$$

Step3: Isolate variable u

Add 9 to both sides:
$$u - 9 + 9 > -10 + 9$$
$$u > -1$$

Answer:

The solution to the inequality is $u > -1$.
For the graph:

• Place an open circle at $-1$ (since the inequality is strict, no equality)
• Draw a ray extending to the right from $-1$ to represent all values greater than $-1$.