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**1. Homework Statement**

**2. Homework Equations**

From my notes I'm aware of the following equation: dim(A + B) = dimA + dimB − dim(A ∩ B).

**3. The Attempt at a Solution**

I'm assuming part of the solution involves the equation above and rearranging it but I'm not sure how I would determine dim(A + B). I also know A + B := <A ∪ B> = = {a + b: a ∈ A, b ∈ B} but I can't see where to go.

Thanks in advance!

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