Question

Express the empty set as a subset of R in two different ways.

Hint: φ = {x ∈ R | x

2 + 1 = 0}​

Answer 1

Given : empty set as a subset of R

To Find : Express the empty set as a subset of R in different ways.

Solution:

There can be so many ways :

Here are Fews:

φ = {x ∈ R | x² + 1 = 0  }

φ = {x ∈ R | x² + 2 = 0  }

φ = {x ∈ R | x² + 3 = 0  }

φ = {x ∈ R | x² + 4 = 0  }

φ = {x ∈ R | x⁴ + 1 = 0  }

φ = {x ∈ R | x⁴ + 2 = 0  }

φ = {x ∈ R | x⁴ + 3 = 0  }

φ = {x ∈ R | x⁴ + 4 = 0  }

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