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Question

Which of the following is the empty set

A
{x:x is a real number and x21=0}
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B
{x:x is a real number and x2+1=0}
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C
{x:x is a real number and x29=0}
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D
{x:x is a real number and x2=x+2}
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Solution

The correct option is B {x:x is a real number and x2+1=0}
x2+1=0
x2=1
x=±i
i.e x is an imaginary number.
Hence {x:x is a real number and x2+1=0} is an empty set.

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