Relations and Functions

Relations and Functions

Question

 Let U be the set of all triangles in a plane. If A is set of all triangles with at least one angle different from 60°, what is A'.

Answer

U = Set of alll triangles = {x : x is a triangle}
A = Set  of all trinalges with at least one angle different space space from space 60 degree
= {x : x is a triangle and x has at least one angle different space space space space space from space 60 degree right curly bracket

∴ A' = U - A
= {x : x is a triangle} - {x : x is a triangle and x at least one angle different space space space space from space 60 degree}
= {x : x is a triangle and no angle is different space space than space 60 degree}
= {x :x is a triangle and x has all angles equal space space to space 60 degree space}
= Set of equilateral triangles.
Hence, A' = Set of all equlateral triangles.


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