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# 1) Find a bijection from R to R N, where N denotes the set of all natural numbers. 2) Is there an injection from R into Q, the set of all rational

1) Find a bijection from R to R − N, where N denotes the set of all natural numbers.2) Is there an injection from R into Q, the set of all rational numbers? Why?Please be specific.

SOLUTIONS1) A function f: R RN, given by f(x) = x is a bijection from R toRN. As, this is both injective (One-to-one) function and surjective (Onto) function. Here, image of distinct...