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December 1st, 2014, 03:12 PM  #1 
Newbie Joined: Jul 2014 From: Sheffield Posts: 10 Thanks: 0  Does Anyone answer to this?
Really do not understand this question, if anyone knows the answer it would be great help. whoever knows the answer could you tell me why & how you got the answer. HERE IT IS: If x is a natural number (i.e., x ∈ N), all but one of the following mean the same thing (i.e., give the same condition on x). Write down the letter corresponding to the odd one out which does not mean the same as the others. (A) x² < 2 (B) x ∈ {0,1} (C) x=0 ∨ x=1 (D) 0≤x ∧ x≤1 (E) {x} ⊆ {0,1} (F) 1 ∈ {1,x} (G) 0 ≤ x ≤ 1 (H) x̸=0 ⇒ x=1 Thanks Last edited by skipjack; December 1st, 2014 at 07:42 PM. 
December 1st, 2014, 04:12 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,600 Thanks: 2588 Math Focus: Mainly analysis and algebra 
F looks rather different to me.

December 1st, 2014, 06:12 PM  #3 
Senior Member Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 390 Thanks: 70 
I agree that it's F. All of the others imply that either x=0 or x=1. But in F, x could equal any natural number greater than 1. 
December 1st, 2014, 07:55 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,310 Thanks: 1978 
F (because that condition is satisfied for every natural number, not just 0 and 1)


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