Function as a correspondence Let A and B be two non-empty sets. Then a function ‘f ‘ from set A to set B is a rule or method or correspondence which associates elements of set A to elements of set B such that: Fig. 2(a) (i) all elements of set A are associated to…
Function as a machine A function can also be regarded as a machine that gives unique output in set B corresponding to each input from the set A just as the function ‘machine’ shown in Fig. 2(b). Which generate an output y = 2×3 + 5 for each input x. Fig. 2(b) Usually real…
Union of sets Let A and B be two sets. The union of A and B is the set of all those elements which belong either to A or to B or to both A and B. We denote A union B by notation “A ∪ B” Thus A∪B = { x : x ∈…
The Sea Guardians, the maritime variant of the Predator MQ-9s are actually what that were recently inducted into the Indian Navy? Q2 – The Sea Guardians, the maritime variant of the Predator MQ-9s are actually what that were recently inducted into the Indian Navy? Answer – Drones Q1 – In the first week of December 2020, the…
Domain of relation Let R be a relation from a set A to a set B. Then the of all first components or coordinates of the ordered pairs belonging to R is called the domain of R. Thus, domain of R = { a : (a, b) ∈ R} Clearly, domain of R ⊆ A…
Symmetry difference of sets Let A and B be two sets. The symmetry difference of sets A and B is the set (A-B) ∪ (B-A) and it is denoted by A ∆ B. Then A∆B=(A-B) ∪ (B-A) = {x : x ∉ A ∩ B}. In Fig 9 shaded region represents A∆B Fig (9) Example…
