Question

solve the inequality and graph the solution.
3 < 7 + 2z
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 7 from both sides

$$3 - 7<7 + 2z-7$$
$$-4 < 2z$$

Step2: Divide both sides by 2

$$\frac{-4}{2}<\frac{2z}{2}$$
$$-2 < z$$

Answer:

The solution of the inequality is \(z > - 2\). On the number - line, we plot an open circle at \(z=-2\) (because the inequality is strict, i.e., \(z
eq - 2\)) and draw an arrow to the right.