Show that if seven integers are selected from the first 10 positive integers, there must be at least two pairs of these integers with the sum 11. a.) Is the conclusion still true if six integers are selected rather than seven?

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A: Given that, M xddxnf(x);p = (-1)npnF(p) We can prove this by mathematical induction.

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A: Solution-:

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A: See the handwritten solution

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Q: show that every integer greater than 11 is the sum of two composite integers

A: We need to prove that  every integer greater than 11 is the sum of two composite integers.

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Q: sum of two even integers is even

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Q: 1. Show that if seven integers are selected from the first 10 positive integers, there must be at…

A: We can solve the following question by pigeonhole principle

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