The set F = {(a,x), (b,z), (c,x)}is a function from a set A = {a,b,c} to a set B = {x,y,z}.Group startsTrue or FalseTrue, unselectedFalse, unselected
Question
The set F = {(a,x), (b,z), (c,x)} is a function from a set A = {a,b,c} to a set B = {x,y,z}.
Group starts
True or False
- True, unselected
- False, unselected
Solution
The given set F = {(a,x), (b,z), (c,x)} represents a function from a set A = {a,b,c} to a set B = {x,y,z}.
To determine if F is a function, we need to check if each element in set A is mapped to a unique element in set B.
Step 1: Check if each element in set A is mapped to an element in set B.
- Element a in set A is mapped to element x in set B.
- Element b in set A is mapped to element z in set B.
- Element c in set A is mapped to element x in set B.
Step 2: Check if each element in set A is mapped to a unique element in set B.
- Element a in set A is mapped to element x in set B.
- Element b in set A is mapped to element z in set B.
- Element c in set A is mapped to element x in set B.
Since each element in set A is mapped to a unique element in set B, we can conclude that the set F = {(a,x), (b,z), (c,x)} is indeed a function from set A = {a,b,c} to set B = {x,y,z}.
Therefore, the statement "Group startsTrue or FalseTrue" is True.
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