Question

solve the inequality and graph the solution.
\\(\frac{x}{2} - 1 > 1\\)
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 variable term

Add 1 to both sides.
$\frac{x}{2} - 1 + 1 > 1 + 1$
$\frac{x}{2} > 2$

Step2: Solve for x

Multiply both sides by 2.
$\frac{x}{2} \times 2 > 2 \times 2$
$x > 4$

Step3: Graph setup notes

For the number line:

• Plot an open endpoint at $x=4$ (since the inequality is strict, no equality).
• Draw an arrow pointing to the right from 4, to represent all values greater than 4.

Answer:

The solution to the inequality is $x > 4$.
For the graph: Place an open circle at 4 on the number line, and draw a ray extending to the right from this open circle.