Let $A = \{ 3,4,5,6,7 \}$ And Define a Relation $R$ On $A$

question 9

Essay

Let $A = \{ 3,4,5,6,7 \}$ and define a relation $R$ on $A$ as follows: for all $x , y \in A$ ,
$$x R y \Leftrightarrow 2 \mid ( x - y ) .$$
(a) Is 6 R 3? Is 4 R 6?
(b) Draw the directed graph of R.

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Definitions:

Interleukins

A diverse group of cytokines produced mainly by macrophages and lymphocytes.

B Cells

A type of white blood cell that matures in the bone marrow and plays a vital role in producing antibodies for the immune response.

Immunocompetent T Cells

Immunocompetent T cells are a type of lymphocyte that have matured and gained the ability to recognize and respond to antigens, playing a central role in the adaptive immune response.

Antibody Mediated

Referring to the immune response that involves B cells producing antibodies to neutralize pathogens.