Solution Found!
For each of the following sets, indicate whether 2 is an element of the set. (a) A = {x
Chapter 2, Problem 5(choose chapter or problem)
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}}.
Questions & Answers
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.