Question

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

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Answer 1

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 }

Answer 2

• 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:-

$\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}$