Tanya69
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Use set builder notation to write the set E= {1, 3, 9, 27}

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Respuesta :

mhanifa

Answer:

  • E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }

Step-by-step explanation:

Given set:

  • E = {1, 3, 9, 27}

We observe that:

  • 1 = 3⁰, 3 = 3¹, 9 = 3², 27 = 3³

Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.

Set builder notation:

  • E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }
  • E={1,3,9,27}

Here let's observe

  • 1=3^0
  • 3=3^1
  • 9=3^2
  • 27=3^3

So set builder form:-

[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]

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