Answer: In set notation, A U B represents the union of sets A and B, which is the set of all elements that are in A, in B, or in both A and B. A - B represents the set of all elements that are in A but not in B.
To compute A U B, we need to find all the elements that are in A, in B, or in both A and B. In this case, A = [-2, 3) and B = [1, 4]. To find A U B, we can write down all the elements in A and in B, and remove any duplicates:
A = [-2, 3)B = [1, 4]
A U B = [-2, 4)
So, A U B is the set of all real numbers between -2 and 4, including -2 but not including 4.
To compute A - B, we need to find all the elements that are in A but not in B. In this case, A = [-2, 3) and B = [1, 4]. To find A - B, we can write down all the elements in A that are not in B:
A = [-2, 3)B = [1, 4]
A - B = [-2, 1)
So, A - B is the set of all real numbers between -2 and 1, including -2 but not including 1.
Explanation: