Order of Operations

Question 1

Is |x|<0 a solution?

Answer 1

No. The absolute value for any real number is greater than or equal to 0.

Question 2

True or false, the solution for |x|≤3 is -3≤x≤3?

Answer 2

True.

Question 3

Define 3 ∈ A.

Answer 3

3 is an element of set A; or 3 belongs to set A.

Question 4

Define 5 ∉ B.

Answer 4

5 is not an element of set B.

Question 5

Define B ⊈ C.

Answer 5

B is not a subset of set C.

Question 6

Define C ⊂ A.

Answer 6

C is a subset of set A.

Question 7

Is |x|≤0 a solution?

Answer 7

Yes. A given less than or equal to 0=0

Question 8

Define A ∪ B.

Answer 8

The union of two sets: A union B combines all elements in either sets, or both.

Question 9

Define A ∩ B.

Answer 9

The intersection of two sets A and B (A intersects B) is the set of all elements that are common to set A and B.

Question 10

x ∈ A ∩ B if x ∈ A and x ∈ B

Answer 10

x is an element of the intersection A and B if and only if x is both an element of the set A and an element of B.

Question 11

x ∈ A ∪ B if x ∈ A or x ∈ B (or both)

Answer 11

x is an element of A union B, such that x is an element of the set A if x is an element of the set B (or both).

Question 12

Define A’.

Answer 12

The complement of set A refers to all the elements in a universal set, only to exclude set A.