Question

solve the inequality and graph the solution.

\\( \frac { s } { 2 } + 6 \geq 5 \\)

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: Subtract 6 from both sides

$$\frac{s}{2}+6 - 6\geq5 - 6$$
$$\frac{s}{2}\geq - 1$$

Step2: Multiply both sides by 2

$$\frac{s}{2}\times2\geq - 1\times2$$
$$s\geq - 2$$

To graph the solution:

• Plot a closed endpoint at \(s = - 2\) (because the inequality is \(\geq\), so the value \(-2\) is included in the solution set).
• Draw an arrow to the right (since \(s\) is greater than or equal to \(-2\)).

Answer:

The solution of the inequality is \(s\geq - 2\). On the number - line, there is a closed circle at \(-2\) and an arrow pointing to the right.