Question

solve the inequality and graph the solution.
\frac{1}{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.
$2 \times \frac{x}{2} < 2 \times 2$
$x < 4$

Step3: Graph setup

On the number line, plot an open circle at 4 (since x is strictly less than 4, not equal to 4), then draw an arrow pointing left from this open circle to represent all values less than 4.

Answer:

The solution to the inequality is $x < 4$. For the graph: mark an open endpoint at 4 on the provided number line, then draw a ray with an arrow pointing left from this point to cover all values less than 4.