Almost Total Inequality?

When x is zero, A is greater than both B and C

For what other values of x is A the greatest?

For what values of x is B the greatest ?

For what values of x is C the greatest?

Is there a value of x when neither A nor B nor C is greater than the other two?

You may like to find the answers either algebraically or graphically.

Click here to download the ALMOST TOTAL INEQUALITY worksheet
Click here to download the Notes for Teachers

Click here for the poster.

This problem is adapted from the NRICH task Almost Total Inequality with permission of the University of Cambridge. All rights reserved.