Question

solve the inequality and graph the solution.

\\( \frac { f } { 2 } + 1 \leq - 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.

submit

Explanation:

Step1: Subtract 1 from both sides

$$\frac{f}{2}+1 - 1\leq - 1-1$$
$$\frac{f}{2}\leq - 2$$

Step2: Multiply both sides by 2

$$\frac{f}{2}\times2\leq - 2\times2$$
$$f\leq - 4$$

Answer:

The solution of the inequality is \(f\leq - 4\). On the number - line, we plot a closed circle at \(-4\) (because the inequality is \(\leq\)) and draw an arrow to the left.