To explain: The process of verification of an ordered pair is a solution of system of inequalities.
Answer to Problem 1E
The ordered pair is substituted in the provided inequalities.
Explanation of Solution
Given information:
The system of inequalities.
Consider the system of inequalities and a provided ordered pair.
The ordered pair is substituted in the inequalities and inequalities are then computed.
If all the provided inequalities are satisfied by the ordered pair then it is said that the ordered pair is the solution of the equation.
For example, consider the system of inequalities,
It has to be verified whether the ordered pair
Substitute the point in each inequality.
First inequality,
The above inequality is not true, therefore, the ordered pair
Second inequality,
The above inequality is true, therefore, the ordered pair
But since both the inequalities need to be satisfied so, the ordered pair is not the solution of the provided system of inequalities.
Chapter 5 Solutions
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