SOLUTION: Let U = {1, 2, 3, 4, 5, 6, 7}. List all the members of the given set. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
{x | x is less than 5} ∩
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Question 896076: Let U = {1, 2, 3, 4, 5, 6, 7}. List all the members of the given set. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
{x | x is less than 5} ∩ {x | x is greater than 5}
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The universal set is U = {1, 2, 3, 4, 5, 6, 7}. This is the only set of numbers we care about in this problem.
{x | x is less than 5} = {1, 2, 3, 4}
{x | x is greater than 5} = {6, 7}
These two sets (focus on the right sides) have nothing in common. There is no number that is in both sets.
We call these two sets to be mutually exclusive. Another term for this is that these two sets are disjoint.
So because these two sets have nothing in common, their intersection is the empty set
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