In the following exercises, determine whether each ordered pair is a solution to the system. {

step 1 For this question, we have to check some points to see if they are a solution to a given system.

In the following exercises, determine whether each ordered...

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Key Concepts

System of Inequalities

A system of inequalities consists of two or more inequalities that must all be satisfied simultaneously by the variable values. The overall solution is the set of points that satisfies every inequality in the system, representing a common region where all conditions overlap.

Verifying Candidate Solutions

Verifying candidate solutions involves substituting the given ordered pairs into each inequality of the system to determine whether the resulting expressions hold true. This step ensures that each candidate point lies within the region defined by all inequalities and is therefore a valid solution.

Inequality Notation

Understanding inequality symbols, such as '>' and '?', is crucial since they dictate whether endpoints are included in the solution set and determine the conditions that the variables must meet. Recognizing the difference between strict and non-strict inequalities is important when evaluating the conditions of a system.

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