Question

Select the set that is equivalent to: (B∪A)∪C B∪(A∩C) (B∪A)∩C C∪(B∪A) (C∩B)∪A Select the set identity that shows the two sets are equivalent. Select all the strings that are elements of {a,b}4. aa aaa baa abba aba z→z:f(x)=⌊2x​⌋ A. Select the element in f(x) that corresponds to B. Select the properties that describe f(x). the circled x.

Answer 1

Answer and Step-by-step explanation:

1. Set equivalence:

The set that is equivalent to (B∪A)∪C is C∪(B∪A).

2. Set identity:

The set identity that shows the two sets are equivalent is the associative property of union, which states that for any sets A, B, and C, (A∪B)∪C = A∪(B∪C). In this case, the two sets (B∪A)∪C and C∪(B∪A) are equivalent due to the associative property of union.

3. Elements of {a,b}4:

The set {a,b}4 represents all possible strings of length 4 using the elements "a" and "b". The elements that are part of this set are:

- aa

- aaa

- baa

- abba

- aba

4. Corresponding element in f(x):

In the function f(x) = ⌊2x⌋, the circled x corresponds to the input variable x.

5. Properties of f(x):

The properties that describe the function f(x) are:

- It is a floor function, denoted by the symbol ⌊⌋, which means that it rounds down to the nearest integer.

- It multiplies the input x by 2.

- It returns the integer part of the result, discarding any decimal places.