Please check my answer
The domain of the following relation: R: {(−4, 8), (8, 10), (5, 4), (1, 6), (5, −9)} is
a. {8,10,4,6,-9}
b.{-4,1,5,8)
c. {-4, 8, 5,1,5}
d. no domain exists
I think that it is A, Am I right? Thanks
The domain is the set of all the 1st elements of the pairs.
A is the range.
To find the domain of a relation, we need to identify the set of all possible x-values. In this case, the given relation R has x-values of -4, 8, 5, and 1. Therefore, the correct answer is b. { -4, 1, 5, 8 }. Your initial choice of option A is incorrect.
To find the domain of a relation, you need to look at the set of all the first elements (or x-values) in the ordered pairs of the relation. In this case, the relation R is given as follows: R: {(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)}.
The first elements of these ordered pairs are -4, 8, 5, 1, and 5. The domain is the set of all unique first elements.
Looking at the options you provided, let's examine them:
a. {8, 10, 4, 6, -9} - This includes all the unique first elements from the relation R, so it could be a valid domain.
b. {-4, 1, 5, 8} - This option includes all the unique first elements but is missing the second occurrence of 5, which could be an error.
c. {-4, 8, 5, 1, 5} - This option includes all the unique first elements as well as the second occurrence of 5, which could also be an error.
d. No domain exists - This option suggests that there is no domain, which is not possible.
Based on your options, option a. {8, 10, 4, 6, -9} seems correct as it includes all the unique first elements of the relation R.
So, your answer A is correct. Well done!