Question

solve the inequality and graph the solution.
\\(\frac{f}{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.
number line from -5 to 5 with ticks at each integer
submit
work it out
not feeling ready yet? these can help:

Explanation:

Step1: Add 1 to both sides

To isolate the term with \( f \), we add 1 to both sides of the inequality \(\frac{f}{2}-1 > 1\). This gives us \(\frac{f}{2}-1 + 1>1 + 1\), which simplifies to \(\frac{f}{2}>2\).

Step2: Multiply both sides by 2

To solve for \( f \), we multiply both sides of the inequality \(\frac{f}{2}>2\) by 2. This gives us \(2\times\frac{f}{2}>2\times2\), which simplifies to \(f > 4\).

Step3: Graph the solution

On the number line, we have an open circle at 4 (since the inequality is \(>\) and not \(\geq\)) and an arrow pointing to the right (indicating all numbers greater than 4 are part of the solution).

Answer:

The solution to the inequality is \( f > 4 \). The graph has an open circle at 4 and an arrow pointing to the right.