Question

solve the inequality and graph the solution.
9 + 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: Subtract 9 from both sides

$$9 + 2t-9<1 - 9$$
$$2t<-8$$

Step2: Divide both sides by 2

$$\frac{2t}{2}<\frac{-8}{2}$$
$$t < - 4$$

Answer:

The solution of the inequality is \(t < - 4\). On the number - line, we plot an open circle at \(-4\) (because the inequality is strict, \(t
eq - 4\)) and draw a ray to the left of \(-4\).