Write an inequality that includes (0,9), (-10, 10), (10, -20), and (-20, 15) as solutions.

Question

I really need help solving this, I am so stuck!!!

 

Write an inequality that includes (0,9), (-10, 10), (10, -20), and (-20, 15) as solutions.

Answer 1

The Cartesian Coordinate system has an x-axis (y=0) and a y-axis (x=0).  This allows us to represent points in the form (x,y).

 

You could plot each of the given points and determine a line that passes them closely with all of the points on one side.

 

Or, carefully reading the problem ("inequality that includes . . . as solutions") and observing the various x-values and y-values, you would immediately be able to select a line that puts all of the points on one side of it.  Remember to represent the half-plane that the line creates as an inequality that is true for all of the x-values and y-values.

 

How about:

    y < 100