A local company is hiring trainees with less than 1 year of experience and managers with 5 or more years of experience. Solve the inequality and graph the solutions?

To solve the inequality and graph the solutions, we need to define the inequality first. Let's use x to represent the number of years of experience.

For trainees, the requirement is less than 1 year of experience, so the inequality is:
x < 1

For managers, the requirement is 5 or more years of experience, so the inequality is:
x ≥ 5

To graph the solutions, we will plot these two inequalities on a number line.

Start by drawing a number line with tick marks and label the numbers from 0 to 10. Then draw a closed circle at 1 to represent the point x = 1 and shade the region to the left of 1. This represents the solution to x < 1.

Next, draw a closed circle at 5 to represent the point x = 5 and shade the region to the right of 5. This represents the solution to x ≥ 5.

The graph should display a shaded region to the left of 1 and a shaded region to the right of 5, indicating the respective solutions for trainees and managers.

To solve the inequality and graph the solutions, we need to write the inequality equation first. Let's denote the number of years of experience as "x."

According to the given information:
- For trainees, the condition is "less than 1 year of experience." This can be written as x < 1.
- For managers, the condition is "5 or more years of experience." This can be written as x ≥ 5.

Therefore, the inequality equation is:
x < 1 or x ≥ 5.

To graph the solutions, we'll draw a number line and mark the points where x = 1 and x = 5.

0 1 5

Now, we'll shade the regions that satisfy the inequality. Since the inequality states "x < 1 or x ≥ 5," we need to shade everything to the left of 1 (excluding 1) and everything to the right of or equal to 5.

0 1 5
--------|---------------

The shaded regions represent the solutions to the inequality. Any value of x to the left of 1 (excluding 1) or equal to or greater than 5 satisfies the condition.

1<=x>=5

This is the inequity u will have to graph.