Number theory question

Suppose I have two primes, p at least 5 and q at least 7. I'm trying to
show that 3p + 3q < pq + 3. To me, this looks like something involving
the triangle inequality, but the fact that there's no factor of 3 in the
pq is throwing me off. Intuitively, I can see why that is (the left
side is 36 at the smallest while the right side is 38 at the smallest,
and any larger values of p or q would only make this increase further),
but I need assistance in formalizing this. Any hints in the right
direction?
.

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