Using the OR and AND operations, we have that:
a. The graph of the and operation is x > a, while the graph of the or operation is x > b.
b. The graph of the and operation is x > b, while the graph of the or operation is x > a.
c. The graphs of both operations are the same, given by x > a = x > b.
What is the result of the AND operation between two data-set?
The result of the AND operation between two data-set is the set that contains elements that belong to both sets.
What is the result of the OR operation between two data-set?
The result of the OR operation between two data-set is the set that contains elements that belong to at least one of the sets.
In item a, we have that a is to the right of b, hence:
- b is plotted before a on the number line.
- The intersection is the values starting at a, as between b and a, there are x > b but not x > a, while for x > a, the values will belong to both sets.
- The or is the values starting at x > b, as they will already belong to one of the sets.
Hence:
The graph of the and operation is x > a, while the graph of the or operation is x > b.
In item b, we have that a is to the left of b, hence:
- a is plotted before b on the number line.
- The intersection is the values starting at b, as between a and b, there are x > a but not x > b, while for x > b, the values will belong to both sets.
- The or is the values starting at x > a, as they will already belong to one of the sets.
Hence:
The graph of the and operation is x > b, while the graph of the or operation is x > a.
In item c, we have that a and b are the same point, hence, hence the graphs of both operations are the same, given by x > a = x > b.
More can be learned about the OR and AND operations at https://brainly.com/question/295961
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