To find: whether the system of linear inequalities having boundary line parallel has no solution.
Answer to Problem 40E
It’s not true.
Explanation of Solution
Given:
Boundary line are parallel.
Concept used:
A system of linear equation in which the boundary lines are parallel must have no solutions due to no intersection formed.
Incase of inequality it’s possible since, the solution is the area formed so, it does not need a point to be intersect.
Calculation:
Consider the below sentence.
A system of linear inequalities in which the boundary lines are parallel must have no solutions answer whether the above statement is true by giving a reason.
A system of linear inequalities in which the boundary lines are parallel can have solutions the reasons is as explained in the below steps.
For example, consider the system of inequalities
The graph of inequalities
Hence, its not true.
Chapter 5 Solutions
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