Solving Inequality Word Questions

soccer teams

We should also write down what is actually being asked for, so we know where we are going and when we have arrived!

The best way to learn this is by example, so let's try our first example:

soccer teams

Sam and Alex play in the same soccer team.
Last Saturday Alex scored 3 more goals than Sam, but together they scored less than 9 goals.

What are the possible number of goals Alex scored?

We know that Alex scored 3 more goals than Sam did, so: A = S + 3

And we know that together they scored less than 9 goals: S + A < 9

We are being asked for how many goals Alex might have scored: A