Draw the directed graphs representing each of the following relations:
a) {(1,1), (1,2), (1,3)}
b) {(1,2), (2,1), (2,2), (3,3)}
c) {(1,1), (1,2), (1,3), (2,2), (2,3), (3,3)}
d) {(1,3), (3,1)}

Answer and Explanation:

Given : Different relations.

a) {(1,1), (1,2), (1,3)}

b) {(1,2), (2,1), (2,2), (3,3)}

c) {(1,1), (1,2), (1,3), (2,2), (2,3), (3,3)}

d) {(1,3), (3,1)}

To find : Draw the directed graphs representing each relations?

Solution :

A directed graph is defined as a set of vertices that are connected together  where all the edges are directed from one vertex to another.

Now, We represent each relation through directed graph.

a) {(1,1), (1,2), (1,3)}

Here, 1 is connected to itself, 1 is connected to 2 and 1 is connected to 3.

Refer the attached figure (1).

b) {(1,2), (2,1), (2,2), (3,3)}

Here, 1 is connected to 2 and 2 is connected to 1,2 is connected to itself and 3 is connected to itself.

Refer the attached figure (2).

c) {(1,1), (1,2), (1,3), (2,2), (2,3), (3,3)}

Here, 1 is connected to itself, 1 is connected to 2,1 is connected to 3,2 is connected to itself , 2 is connected to 3 and 3 is connected to itself.

Refer the attached figure (3).

d) {(1,3), (3,1)}

Here, 1 is connected to 3 and 3 is connected to 1.

Refer the attached figure (4).

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.

she would want to sell 10 full-year subscriptions and at least 9 half-year subscriptions to get a total of at least $300. 

i hope this answer you! if you have any further questions or concerns, feel free to ask! : )

step-by-step explanation:

mark brainliest!