My Math Forum Set Statements

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 March 10th, 2011, 01:19 PM #1 Member   Joined: Nov 2010 Posts: 78 Thanks: 0 Set Statements I would appreciate help with the following problem: A := {3x : x is an element of the Natural numbers} B := {3x+21 : x is an element of the Natural numbers} C := {x+7 : x is an element of the Natural numbers} E := {x : x is an element of the Natural numbers} F := {3x-21 : x is an element of the Natural numbers} Are the following statements true? Need proof or why it is false. A intersect E = B A intersect C = B E intersect F = A Thanks for the help!
 March 10th, 2011, 01:23 PM #2 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: Set Statements A is a subset of E, so A^E (intersect) is just A. Now the question is reduced to "A = B". They are not equal. Look for the smallest elements of each, and demonstrate that there is an element in (either A or B) that is not in the other.
 March 10th, 2011, 02:00 PM #3 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Re: Set Statements Moved to Set Theory.

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