We need to remove either (1, 4) or (1, 1) to create a function.
<h3>How to alter a relation in order to obtain a function</h3>
Relations are formed by two sets, an input set known as domain and an output set known as range and relationships between these sets. A relation is a function if and only if each element from domain is related to only one element of the range. Mathematically speaking, we must satisfy the following proposition:
x → f(x), x → f'(x) ⇒ f(x) = f'(x)
Based on this definition, there are two possibilities to create a function:
- Remove (1, 4)
- Remove (1, 1)
To learn more on functions: brainly.com/question/12431044
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Answer:

Step-by-step explanation:

Solve the brackets first.

Division comes next.

Cancel the negative signs.

Multiply the terms.


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Answer:
D . . . (best of the erroneous choices)
Step-by-step explanation:
Solving the first equation for x, we get ...
√(y -1) ≥ x
Solving the second equation for x, we get ...
x > 3
Substituting for x, we have ...
√(y -1) > 3
y -1 > 9
y > 10
Ordered pairs that are in the solution set will have coordinates ...
x > 3, y > 10
In interval notation that looks like ...
x ∈ (-∞, 3) and y ∈ (10, ∞)
The closest answer choice is the last one.
_____
You will note that x must be strictly greater than 3, so y cannot be equal to 10. The offered choice is in error on that point.
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You will also note that y is dependent on x. That is, one cannot pick a value of y greater than 10 independently of the value of x. In that sense, the solution is not "the set of all ordered pairs such that [x and y have independent limits]". Rather, it is the set of all ordered pairs such that √(y -1) ≥ x > 3.