Question

Graph the inequality. \(x<-0.5\)

Short answer

The graph consists of a dotted vertical line at x = -0.5. The area to the left of this line, representing all the possible x values that are less than -0.5, is shaded.

Step-by-step solution

Identify inequality

The inequality is \(x<-0.5\). We will graph the line for x = -0.5 and indicate the areas where x is less than -0.5.

Draw the line

Firstly, draw a vertical line at x = -0.5. This would be a dotted line since x is strictly less than -0.5, which means that -0.5 is not included in the solution.

Shade the correct area

The inequality states that x should be less than -0.5. Therefore, we shade the area to the left of the line we have just drawn, indicating all the possible values that x can be according to the inequality.