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Question

Mathematics Question on Sets

Write the set builder form A=1,1A = {-1, 1}

A

A = {x : x is a real number}

B

A = (x : x is an integer)

C

A = {x : x is a root of the equation x2x^2 = 1}

D

A = {x : x is a root of the equation x2x^2 + 1 = 0}

Answer

A = {x : x is a root of the equation x2x^2 = 1}

Explanation

Solution

1,1-1,1 are the roots of the equation x21=0x^{2}-1=0 Hence, set builder form of AA can be written as A=\left\\{x: x\right. is a root of the equation \left.x^{2}=1\right\\}