Question

solve the inequality and graph the solution.
5 + 2c < 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: Subtract 5 from both sides

$$\begin{align*} 5 + 2c-5&<9 - 5\\ 2c&<4 \end{align*}$$

Step2: Divide both sides by 2

$$\begin{align*} \frac{2c}{2}&<\frac{4}{2}\\ c&<2 \end{align*}$$

Answer:

The solution of the inequality \(5 + 2c<9\) is \(c < 2\). On the number - line, we plot an open circle at \(2\) (because \(c\) is not equal to \(2\)) and draw an arrow to the left (towards the smaller numbers).