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

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2 Answers

1 vote
  • 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:-


\\ \sf\longmapsto E=\x

User Mecampbellsoup
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4.6k points
5 votes

Answer:

  • E = x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3

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 = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3
User ASHISH R
by
5.0k points