An ordered pair is a pair of elements where the order matters, typically represented as (x, y). For example, in the context of a function like f(x) = 2x, the ordered pair (3, 6) makes the statement true because when you input 3 into the function, it outputs 6. This shows that the first element (3) corresponds to the second element (6) according to the function's rule.
To determine if an ordered pair is a solution to an inequality, you need to substitute the values of the ordered pair into the inequality and check if the statement holds true. If the left side of the inequality evaluates to a value that satisfies the inequality when compared to the right side, then the ordered pair is a solution. If not, it is not a solution. Please provide the specific ordered pair and the inequality for a definitive answer.
an ordered pair that makes both equations true
True
true
Any ordered pair that makes the set true
An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.
True, it can, but that would make the table pretty much useless.
an ordered pair that makes both equations true
true
True
true
False
true
Any ordered pair that makes the set true
the solution set
true
True. That's a way of representing the solution.