Subjects algebra

System Inequalities Eb6593

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1. The problem asks us to determine which points $(x,y)$ could be solutions to a given system of inequalities. 2. A system of inequalities consists of multiple inequalities that the point $(x,y)$ must satisfy simultaneously. 3. To check if a point $(x,y)$ is a solution, substitute the values of $x$ and $y$ into each inequality. 4. If the point satisfies all inequalities, it is a solution; otherwise, it is not. 5. Since the specific inequalities are not provided, the general approach is to test each candidate point by substitution. 6. For example, if the system is: $$\begin{cases} y \leq 2x + 3 \\ y > x - 1 \end{cases}$$ and the candidate point is $(1,2)$, substitute: $$2 \leq 2(1) + 3 = 5 \quad \text{(True)}$$ $$2 > 1 - 1 = 0 \quad \text{(True)}$$ So $(1,2)$ is a solution. 7. Without the specific inequalities or candidate points, we cannot determine which points could be solutions. 8. Please provide the system of inequalities and the candidate points to check.