Here are some tricks and tips for solving STEP and other advanced mathematics examinations questions involving equations and inequalities
Take any two numbers between 0 and 1. Prove that the sum of the numbers is always less than one plus their product?
The symbol [ ] means 'the integer part of'. Can the numbers [2x]; 2[x]; [x + 1/2] + [x - 1/2] ever be equal? Can they ever take three different values?
Can you find the solution to this algebraic inequality?