what does it mean when a question asks "ordered pair of the relation"
An ordered pair of a relation refers to two elements that are related or connected in some way. In mathematics, a relation is a set of ordered pairs that relate input values to output values. For example, in the relation {(1,2), (2,4), (3,6)}, each ordered pair represents a relationship between the first element and the second element. So, when a question asks for the ordered pair of a relation, it is asking for the specific pair of elements that are related in the given relation.
can you do an example
Sure! Let's consider a relation R defined as follows:
R = {(1, 4), (2, 6), (3, 9), (4, 12)}
If the question asks for the ordered pairs of the relation R, you would simply list out each ordered pair in the set. In this case, the ordered pairs of the relation R are:
(1, 4)
(2, 6)
(3, 9)
(4, 12)
These ordered pairs represent the relationships in the relation R, where for each input value on the left side of the comma, there is a corresponding output value on the right side of the comma.
what if the question ask Which is an ordered pair of the relation y=2/3x−5
? how would I answer the question
To answer the question "Which is an ordered pair of the relation y = (2/3)x - 5?", you need to find a pair of values that satisfy the relationship given by the equation.
The equation y = (2/3)x - 5 represents a linear relationship where the value of y is dependent on the value of x. To find an ordered pair that satisfies this equation, you can choose a value for x, substitute it into the equation, and then solve for y.
Let's say we choose x = 3. Substitute x = 3 into the equation:
y = (2/3)(3) - 5
y = 2 - 5
y = -3
So, when x = 3, y = -3. Therefore, the ordered pair that satisfies the relation y = (2/3)x - 5 is (3, -3).
that is not an option
I apologize for that oversight. Let's try a different approach to find an ordered pair that satisfies the relation y = (2/3)x - 5.
Given the equation y = (2/3)x - 5, we can choose a different value for x and find the corresponding value of y.
Let's choose x = 9. Substitute x = 9 into the equation:
y = (2/3)(9) - 5
y = 6 - 5
y = 1
Therefore, when x = 9, y = 1. The ordered pair that satisfies the relation y = (2/3)x - 5 is (9, 1).
no still wrong
I apologize for the mistake. Let's correct that.
Given the equation y = (2/3)x - 5, we need to find an ordered pair that satisfies this equation.
Let's choose a value for x to find the corresponding value of y. Let's choose x = 9.
Substitute x = 9 into the equation:
y = (2/3)(9) - 5
y = 6 - 5
y = 1
Therefore, when x = 9, y = 1. The ordered pair that satisfies the relation y = (2/3)x - 5 is (9, 1).
can u please try again that is not an option
Apologies for the oversight. Let's try to find another ordered pair that satisfies the equation y = (2/3)x - 5.
Let's take x = 6 and substitute it into the equation:
y = (2/3)(6) - 5
y = 4 - 5
y = -1
Therefore, when x = 6, y = -1. The ordered pair that satisfies the relation y = (2/3)x - 5 is (6, -1).