Question

solve the inequality and graph the solution.
\\(\frac{f + 1}{3}>-1\\)
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: Multiply both sides by 3

Multiply both sides of $\frac{f + 1}{3}>-1$ by 3 to get $f + 1>-3$.

Step2: Subtract 1 from both sides

Subtract 1 from both sides of $f + 1>-3$, so $f>-3 - 1$, which simplifies to $f>-4$.

To graph:

• The endpoint is at $f=-4$. Since the inequality is $f > - 4$, the endpoint is an open - circle.
• The solution set is all values of $f$ greater than $-4$, so we draw a ray to the right of $-4$ on the number line.

Answer:

The solution of the inequality is $f>-4$. On the number - line, there is an open - circle at $-4$ and a ray extending to the right.