Question

solve the inequality and graph the solution.
-3 + 2t > 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:

Explanation:

Step1: Add 3 to both sides

$$\begin{align*} -3 + 2t+3&>1 + 3\\ 2t&>4 \end{align*}$$

Step2: Divide both sides by 2

$$\begin{align*} \frac{2t}{2}&>\frac{4}{2}\\ t&>2 \end{align*}$$

Answer:

The solution of the inequality is \(t>2\). On the number - line, we plot an open circle at \(t = 2\) (because \(t = 2\) is not included in the solution) and draw a ray to the right of \(2\) (towards the positive infinity).