Question 942091:  Question: If the universal set is U = { 1, 2, …, 9, 10 } and A = { 1, 4, 7, 10 } and B = { 1, 2, 3, 4, 5 } and C= { 2, 4, 6, 8 } then which of the following represents the set B ∩ (A \ C)?
 
  
A 	{ 2, 6, 8 } 
  
B 	{ 1, 4, 6, 8, 9 } 
  
C 	{ 7, 10 } 
  
D 	{ 3, 4, 5, 8 }
 
 
 Answer by jim_thompson5910(35256)      (Show Source): 
You can  put this solution on YOUR website! To find "A \ C" you start with set A and kick out numbers that are in set C. 
 
 
So we start with A = { 1, 4, 7, 10 } and kick out 4 since 4 is in C 
 
 
So
 
 
A \ C = { 1, 7, 10 }
 
 
 
-------------------------------------------------------
 
 
B ∩ (A \ C) turns into { 1, 2, 3, 4, 5 } ∩ { 1, 7, 10 }
 
 
Only the number "1" is in both sets, so { 1, 2, 3, 4, 5 } ∩ { 1, 7, 10 } = { 1 }
 
 
-------------------------------------------------------
 
 
Answer: 
 
 
B ∩ (A \ C)  = { 1 }
 
 
There seems to be a typo somewhere in your answer choices or in the original question. 
  | 
 
  
 
 |   
 
 |