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To state: whether the given statement is sometimes, always or never true
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Answer to Problem 39HP
The solution will be at all the points such that
Systems with parallel boundary has no solutions
It is also possible that the solution could be one of the regions determined by the parallel boundaries
Explanation of Solution
Given:
Systems of inequalities with parallel boundaries have no solutions
Calculation:
The system of two equations would have parallel boundaries and have no solution if there is no any common region between two lines.
Consider the below two inequality equations:
The graph will be
Again the system given be the inequality equations,
The solution would be at all the points such that
Hence it is sometimes true that systems with parallel boundaries have no solution.
It is also possible that the solution could be one of the regions determined by the parallel boundaries
Conclusion:
The solution will be at all the points such that
Systems with parallel boundary has no solutions
It is also possible that the solution could be one of the regions determined by the parallel boundaries
Chapter 6 Solutions
Algebra 1
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