Answer :
Answer:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder
(50, ∞) ---- Interval Notation
Step-by-step explanation:
Given
x > 50
Required
Write as a
- Set builder
- Interval notation
As Set Builder:
x > 50 means that x is an integer and x is greater than 50.
In set builder notation, integers are represented with z.
So, the above can be represented as:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]
This translates to:
x is a member of the set of integers such that x is greater than 50
As Interval Notation:
In interval notation, we make use of brackets to represent the intervals.
In this case > is represented by (a,b)
Where a and b are the intervals of the notation
Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.
Hence: x > 50 in interval notation is (50, ∞)