Answer:
Step-by-step explanation:
a) A relation R is symmetric when it includes the inverse relation, for example if it includes (8,9) then it should also include (9,8), if not, then the relation is not symmetric, you can see that in this case the relation includes (3,4) but not (4,3), therefore it is not symmetric
b) A relation is antisymmetric when it never includes the inverse relation, for example if it includes (8,9) then it can not include (9,8), if it does then it is not antisymmetric. In this case you can see that it first starts with (1,2) but then it also includes (2,1) so then it is not antisymmetric
c) A relation is reflexive if for each number of the domain set it includes the pair that is two times that same number, for example if 8 is in the domain then the relation should include (8,8). if not then it is not reflexive. In this case you can see that the domain S includes 1 but (1,1) is never on the relation or for example (2,2) is also never in the relation.
Answer: 72
Step-by-step explanation: so you do a line = line method the lines should look like they are fractions.
you do it for the both numbers the percent is always out of 100.
it should look like this
40% ?
--------- = -----------
100% 180
then you cross multiply 40 and 180 and than divide it by 100. your answer should be 72. you later replace the ? with 72
you know this because It is smaller than 180 and its bigger than the number 40.
Answer:
a^6/(b^12c^3d)
Step-by-step explanation:
