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True or false:
The inconsistent system has no solution.
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Answer to Problem 4SGR
True. The system is said to be inconsistent when it has no solution.
Explanation of Solution
Given information:
The given statement is:
‘The inconsistent system has no solution.’
A system of two linear equations can have the following three solution conditions:
- One solution
- An infinite number of solutions
- No solution.
That’s why the systems of equations are classified by the set of solutions to satisfy the equations.
When there is no solution for the given consistent system then it is said to be inconsistent system. The graphs of two equations are parallel to each other, that are why it not intersects at a point and there is no solution.
Therefore, the given statement is true.
Chapter 6 Solutions
Algebra 1
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