Respuesta :
Answer: b) False
Explanation:
The portion where it says "don't meet at any point" is why the overall statement is false. A consistent system does have the lines or planes meeting at least one point; otherwise, the system is inconsistent with no solutions. Each intersection is a solution.
The statement is false .
What does it means when a system is consistent?
A system of two linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions. If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent .
According to the question
A consistent system occurs when the lines or planes formed don't meet
at any point and are not parallel.
As per Systems of equations
If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent .
Therefore,
This statement is false as it states that when the lines or planes formed don't meet to become a consistent system the system must has at least one solution.
Hence, The statement is false .
To know more about consistent system here:
https://brainly.com/question/4164291
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