Relations and Functions

Relations and Functions

Question

What universal set(s) would you propose for each of the following?

(i) The set of right triangles, (ii) The set of isosceles triangles.

Answer

(i)   All right triangles are also triangles.
rightwards double arrow Each member of set containing right angled triangles is a member of the set containing a triangles.
rightwards double arrow      U   = { c : c is a triangl;e in a plane}

(ii)    All isosceles triangles are also triangles.
rightwards double arrow Each member of set containing isosceles triangles is a member of the set containing a triangles.
rightwards double arrow    U = { x: x is a triangle in a plane}


More Chapters from Relations and Functions