Question

solve the inequality and graph the solution.
\\(\frac{a}{2} - 1 geq 2\\)
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.
-10 -8 -6 -4 -2 0 2 4 6 8 10

Explanation:

Step1: Isolate the fractional term

Add 1 to both sides.
$\frac{a}{2} - 1 + 1 \geq 2 + 1$
$\frac{a}{2} \geq 3$

Step2: Solve for $a$

Multiply both sides by 2.
$2 \times \frac{a}{2} \geq 3 \times 2$
$a \geq 6$

Step3: Graph setup

On the number line, plot a closed endpoint at 6 (since the inequality includes equality, $a \geq 6$), then draw an arrow pointing to the right (toward larger numbers) to represent all values greater than or equal to 6.

Answer:

The solution to the inequality is $a \geq 6$. For the graph: plot a closed dot at 6 on the provided number line, and draw a ray extending to the right from this point.