Question 1

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Let us consider the following sets

A equals open curly brackets z element of complex numbers colon space open vertical bar fraction numerator z minus negative 3 over denominator z plus 2 times i end fraction close vertical bar less than 1 close curly brackets

B equals open curly brackets z element of complex numbers colon space space z minus z with bar on top equals 6 times i close curly brackets

C equals open curly brackets z element of complex numbers colon space space negative 6 times open parentheses z plus z with bar on top close parentheses less-than or slanted equal to open vertical bar z close vertical bar squared close curly brackets

D equals open curly brackets z element of complex numbers colon space space Re left parenthesis z right parenthesis greater-than or slanted equal to 5 times Im left parenthesis z right parenthesis close curly brackets

E equals open curly brackets z element of complex numbers colon space space 3 times Im left parenthesis z right parenthesis squared minus 2 times open vertical bar z close vertical bar squared less than 3 close curly brackets

F equals open curly brackets z element of complex numbers colon space space open vertical bar z close vertical bar greater-than or slanted equal to 2 minus Re left parenthesis z right parenthesis close curly brackets
Match each set with its corresponding representation
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