Final answer:
To solve the inequality z > -3, plot a number line, locate -3, and shade the area to the right to represent all values greater than -3 (but not including -3 itself).
Step-by-step explanation:
To solve the given inequality, we need to interpret the inequality symbol and then graphically represent the solution. The inequality symbol can be '<', '>', ≤ (less than or equal to), or ≥ (greater than or equal to) to show how two metric measurements are related. For our example, we're working with the inequality z > -3.
Step-by-step, the solution process would involve plotting a number line, locating the point -3 on it, and shading all the area to the right of -3 to indicate that z is greater than -3. The point -3 would remain unshaded or would have an open circle since the inequality is strict (it does not include -3 itself).
Graphically, you may use a tool such as a TI-83, 83+, or 84 calculator, which can assist in solving and displaying inequalities. In this case, one would graph the line z = -3 and then shade to the right of that line for the solution set, which indicates that z is greater than -3.