Question

Write each set of numbers in set-builder and interval notation X>50

Answer 1

Answer:

$\{x\ E\ Z\ |\ x > 50\}$ ---- 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:

$\{x\ E\ Z\ |\ x > 50\}$

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, ∞)