Question

X = {(2, 3), (2, 4), (2, 5), (2, 6)} The domain of x is

Answer 1

domain of x = {2}

Explanation:

The given set is

x = {(2, 3), (2, 4), (2, 5), (2, 6)}

Now for a set having ordered pairs then the domain of the set is all the elements which are present first in the order pair are the domain elements of the set. Also domain of a set can not have repeated values. Because domain is also a set and a set is collection of distinct elements so it could not have multiple same values in the domain

e.g(i): if we have an ordered pair (a,b) then its domain would be {a} because it is the first element of the ordered pair

e.g(ii):if we have an ordered pair (a,b) , (e,f) and (a,c) then its domain would be {a,e} because it is the first element of the ordered pair and no repeated value

so for the given set x

domain of x = {2}

Answer 2

Answer: Domain: {2}

Explanation:

1. By definition, the domain is the input value, this means that it is the x-value of a function.

2. Therefore, keeping the definition above on mind, you have that the domain of x is the x-value of each ordered pair.

3. Then, given x = {(2, 3), (2, 4), (2, 5), (2, 6)}, you can see that x-value of each ordered pair is 2. Therefore, you can conclude that the domain of x is:

Domain:{2}