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Dafna1 [17]
3 years ago
11

Write this statement in your own words: ∃x ∈ ℕ, y ∈ ℤ|x² = y² Rewrite this using the appropriate mathematical notation: Even num

bers are in the set of integers.
Mathematics
1 answer:
Serga [27]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

1)

So we have:

\exists x\in\mathbb{N},y\in\mathbb{Z}|x^2=y^2

This can be interpreted as:

"There exists a natural number <em>x</em> and an integer <em>y</em> such that x² is equal to y²."

2)

So we want even numbers are in the set of integers.

\{2n:n\in\mathbb{Z}\}\in\mathbb{Z}

This is interpreted as:

"The set of even numbers (2n such that n is an integer) is in the set of integers"

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