To write a system of linear inequalities so that the points
Answer to Problem 7CT
Explanation of Solution
Given:
Two points
Formula used:
Equation of a line passing through two points is given by
Slope of the line is given by
Calculation:
Since the points
The slope of the line
The equation of the line passing through the point
Now, define the inequality such that the point
Which is a false inequality.
Therefore, the inequality satisfied by the points
Since, a system of linear inequalities is needed, there should be two inequalities.
There are infinite ways to define another inequality.
The other inequality can be given as
Conclusion:
Therefore, the system of linear inequalities satisfied by the points
Chapter 5 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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