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Serhud [2]
3 years ago
5

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

Mathematics
1 answer:
KiRa [710]3 years ago
7 0

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.

<em>Hence: x > 50 in interval notation is (50, ∞)</em>

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<h2>Hello!</h2>

The answer is:

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<h2>Why?</h2>

We can solve the problem writing both equations as a system of equations.

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\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.

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Hence we have that the x-coordinate of the solution to the system of equations is

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