Which ordered pairs make both inequalities true? Check all that apply.
(-2,2)
(0,0)
(1,1)
(1,3)
(2,2)
Answer (2)
Without the specific inequalities, we cannot definitively determine which ordered pairs satisfy the conditions. The general method involves substituting each pair into the inequalities and checking for validity. If the inequalities are provided, I can assist further in evaluating the pairs.
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The problem requires checking which ordered pairs satisfy two inequalities.
Since the inequalities are not provided, a definitive answer cannot be given.
The general method involves substituting each ordered pair into both inequalities and checking if both are true.
Without the inequalities, we cannot determine which ordered pairs are solutions.
Explanation
Understanding the Problem We are given a list of ordered pairs and asked to determine which of them satisfy two inequalities. However, the inequalities themselves are not provided. Therefore, we cannot definitively determine which ordered pairs make both inequalities true without knowing what those inequalities are. We will denote the inequalities as 0"> f ( x , y ) > 0 and g ( x , y ) < 0 for the purpose of explanation.
Solution Strategy To solve this problem, we would typically substitute the x and y values from each ordered pair into both inequalities. If both inequalities hold true for a particular ordered pair, then that ordered pair is a solution.
General Method (Without Inequalities) Since the inequalities are not provided, we cannot perform the substitution and verification steps. Therefore, we cannot determine which of the given ordered pairs satisfy the conditions. If we had the inequalities, we would proceed as follows:
For each ordered pair ( x , y ) :
Substitute the values of x and y into the first inequality, 0"> f ( x , y ) > 0 , and check if it is true.
Substitute the values of x and y into the second inequality, g ( x , y ) < 0 , and check if it is true.
If both inequalities are true , then the ordered pair is a solution.
Conclusion Without the specific inequalities, we cannot provide a definitive answer. We can only illustrate the general method that would be used if the inequalities were known.
Examples
In economics, you might have two constraints on production, such as budget limitations and resource availability. Each inequality represents one of these constraints, and the ordered pairs represent different production plans. The solution to both inequalities would represent the feasible production plans that satisfy both the budget and resource constraints.
