Question: Consider the set X Ndefined as follows. (a) 1 X. (b) If n X then (n3)X and (n+5)X. (c) Nothing is in X unless its

Consider the set X Ndefined as follows. (a) 1 X. (b) If n X then (n3)X and (n+5)X. (c) Nothing is in X unless its membership can be established from the above. 1. Give three elements of Nwhich are elements of X, and explain for each one why it is an element of X. 2. Give three elements of Nwhich are notelements of X, and explain for each one why it is not an element of X. 3. Give a description of the set X using set building notation.

Consider the set X Ndefined as follows. (a) 1 X. (b) If

Consider the set X CN defined as follows. (a) 1 EX (b) If n EX then (nx3) EX and (n+5) E X. (c) Nothing is in X unless its membership can be established from the above. 1. Give three elements of N which are elements of X, and explain for each one why it is an element of X. 2. Give three elements of N which are not elements of X, and explain for each one why it is not an element of X. 3. Give a description of the set X using set building notation

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