SOLUTION: Prove ((B union{x})-{x}) is a subset of B.
Algebra.Com
Question 409468: Prove ((B union{x})-{x}) is a subset of B.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If 
then 
and then \ -\ {x}\ =\ B\ -\ {x})
and then 
contains all the elements of 
except 
. Then is a proper subset of B, and is therefore a subset of B by definition of subset.
If 
then \ -\ {x}\ =\ B)
. But any set is a subset of itself by definition of subset, therefore \ -\ {x}\ =\ B\ \subseteq\ B)
.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
let X IS NOT EQUAL TO 0.let X approach to X be a bijective mapping, define
F=(A... (answered by ikleyn)
If A is subset of B then how can i prove that power set of A is a subset of B? (answered by fcabanski)
For sets A and B, determine whether A = B, A is a subset of B, or B is a subset of A
(answered by jim_thompson5910)
) For sets A and B, determine whether A = B, A is a subset of B, or B is a subset of A
(answered by jsmallt9)
1. Set X = {5, 7, 11, 13, 16,19}, Set Y = {1, 2, 5, 13, 19}
a. What is the union of... (answered by solver91311)
1. Set X = {5, 7, 11, 13, 16,19}, Set Y = {1, 2, 5, 13, 19}
a. What is the union of... (answered by Edwin McCravy)
Provide an answer to the following problems:
2. Set X = {5, 7, 11, 16, 21, 702}, Set... (answered by Fombitz)
Prove that for any sets A and B, if A is a subset of B, then
Help!... (answered by maamarmath)
If x is an element of A and B, is x an element of A union... (answered by Alan3354)
