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I would think it is a typo.
I did the question from a book, and in the back ith as the answers. The first line of my original post shows what the answer is in the textbook. It must be wrong, I will write a letter. It is simple inequality I thought... must be printing error.
Subtract 6pq from both sides.
Divide both sides by 3.
Divide both sides by (1-p)(1-q) provided that p,q are both less than 1.
I do not know where the 3 comes from in your question.
Yes I do! That is what the answer says but i do not understand how it gets past the 'implies' after rearranging
9pq < 6pq +6(1-p)(1-q). Implying that 3pq/(1-p)(1-q) < (less than or equal to) 2