What are two inequalities for a future career that can be graphed on a coordinated plane that can help determine a feasible region of work that will pay well?

Question

The X axis will be hours worked per month and the Y axis will be income in thousands of dollars. The two inequalities will be:

1. The amount of money I want to make (Y is greater than or equal to...)
2. The amount of hours per week I want to work (X is less than or equal to...)

Answer 1

You just need to fill in the values. For example, if you wanted to earn at least $50,000, then the first inequality would be Y >= 50. (Obviously use the "greater than or equal to" symbol instead of what I wrote.) The graph of Y = 10 is a horizontal line, so draw that line and make it solid (not dashed) since it is OK for Y to equal 10. Then, since Y can also be greater than 10, shad everything above the line. For the other equation, you will draw a solid vertical line, and since X can also be less than that value, shade everything to the left of it. The upper-left region of the graph will then be shaded twice; that is the region that satisfies both inequalities.