ChickenChild13
ChickenChild13 ChickenChild13
  • 20-04-2020
  • Mathematics
contestada

Find the following sets if ℤ is the universal set: ({x∈ℤ: x ≤ −1}∪{n∈ℤ: n > 4})c

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rainestormee
rainestormee rainestormee
  • 20-04-2020

Answer:

[tex]\{\alpha \in \mathbb{Z} : \alpha > 4 ,\alpha \leq -1\}[/tex]

Step-by-step explanation:

Allowed values for the first set.

[tex]\{x \in \mathbb{Z} : x \leq -1\}[/tex]

-1, -2 -3, -4....

Allowed values for the second set.

[tex]\{ n \in \mathbb{Z} : n > 4\}[/tex]

5, 6, 7, 8....

Our final set is the union of

[tex]\{-1,-2,-3,-4...\}\cup \{5, 6, 7, 8...\}[/tex]

We can represent this as

[tex]\{\alpha \in \mathbb{Z} : \alpha > 4 ,\alpha \leq -1\}[/tex]

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