Answer
Verified
39.3k+ views
Hint: Here set builder form is a mathematical notation for describing a set by enumerating its
elements or stating the properties that its members must satisfy.
Given set builder form of $A = \{ - 1,1\} $
Clearly, we know that $ - 1$ and \[1\]are the roots of the equation \[{x^2} = 1\]
So, the set builder form of the equation \[{x^2} = 1\] is \[\{ - 1,1\} \] which is equal to the set builder
form of $A = \{ - 1,1\} $.
Hence given set in set builder form can be written as,
$A = \{ x:x{\text{ is a root of the equation }}{x^2} = 1\} $
Thus, the set builder form of $A = \{ - 1,1\} $ is $A = \{ x:x{\text{ is a root of the equation }}{x^2} =
1\} $
Therefore, option $A = \{ x:x{\text{ is a root of the equation }}{x^2} = 1\} $
Note: In this problem the representation is not unique, but among the given options only option $A = \{ x:x{\text{ is a root of the equation }}{x^2} = 1\} $ is satisfying the condition.
elements or stating the properties that its members must satisfy.
Given set builder form of $A = \{ - 1,1\} $
Clearly, we know that $ - 1$ and \[1\]are the roots of the equation \[{x^2} = 1\]
So, the set builder form of the equation \[{x^2} = 1\] is \[\{ - 1,1\} \] which is equal to the set builder
form of $A = \{ - 1,1\} $.
Hence given set in set builder form can be written as,
$A = \{ x:x{\text{ is a root of the equation }}{x^2} = 1\} $
Thus, the set builder form of $A = \{ - 1,1\} $ is $A = \{ x:x{\text{ is a root of the equation }}{x^2} =
1\} $
Therefore, option $A = \{ x:x{\text{ is a root of the equation }}{x^2} = 1\} $
Note: In this problem the representation is not unique, but among the given options only option $A = \{ x:x{\text{ is a root of the equation }}{x^2} = 1\} $ is satisfying the condition.
Recently Updated Pages
Let gx 1 + x x and fx left beginarray20c 1x 0 0x 0 class 12 maths JEE_Main
The number of ways in which 5 boys and 3 girls can-class-12-maths-JEE_Main
Find dfracddxleft left sin x rightlog x right A left class 12 maths JEE_Main
Distance of the point x1y1z1from the line fracx x2l class 12 maths JEE_Main
In a box containing 100 eggs 10 eggs are rotten What class 12 maths JEE_Main
dfracddxex + 3log x A ex cdot x2x + 3 B ex cdot xx class 12 maths JEE_Main
Other Pages
Dissolving 120g of urea molwt60 in 1000g of water gave class 11 chemistry JEE_Main
when an object Is placed at a distance of 60 cm from class 12 physics JEE_Main
If a wire of resistance R is stretched to double of class 12 physics JEE_Main
The resultant of vec A and vec B is perpendicular to class 11 physics JEE_Main
448 litres of methane at NTP corresponds to A 12times class 11 chemistry JEE_Main
A convex lens is dipped in a liquid whose refractive class 12 physics JEE_Main