Question

solve the inequality and graph the solution.

\\( \frac { c } { 2 } - 11 \leq - 9 \\)

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: Add 11 to both sides

$$\frac{c}{2}-11 + 11\leq-9 + 11$$
$$\frac{c}{2}\leq2$$

Step2: Multiply both sides by 2

$$\frac{c}{2}\times2\leq2\times2$$
$$c\leq4$$

To graph \(c\leq4\):

• Plot a closed endpoint at \(4\) (because the inequality is \(\leq\), so \(4\) is included in the solution set).
• Draw an arrow to the left (since \(c\) is less than or equal to \(4\)).

Answer:

The solution of the inequality is \(c\leq4\). On the number - line, there is a closed circle at \(4\) and an arrow pointing to the left.