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For each of the following sets, indicate whether 2 is an element of the set. (a) A = {x

Chapter 2, Problem 5

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QUESTION:

For each of the following sets, indicate whether 2 is an element of the set. (a) A = {x N : x > 2}. (b) B = {x Z : |x| 2}. (c) C = {x Q : x(x 2) = 0}. (d) D = {x R Q : x(x 2) = 0} (e) E = {{2}}.

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QUESTION:

For each of the following sets, indicate whether 2 is an element of the set. (a) A = {x N : x > 2}. (b) B = {x Z : |x| 2}. (c) C = {x Q : x(x 2) = 0}. (d) D = {x R Q : x(x 2) = 0} (e) E = {{2}}.

ANSWER:

Step 1 of 5

(a)

Consider the set The set  will contain the elements of the set of natural numbers() which are greater than 2. So we can write the elements of the set as :

So the set does not contain element 2.

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