Almost total inequality

Age

14 to 16

Challenge level

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving

Being curious Being resourceful Being resilient Being collaborative

Problem

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

For what other values of x is A the greatest ? (your answer will include that zero value of course)

For what x values is B the greatest ? And C ?

Is there a value of x when neither A or B or C is greater than the other two ?