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Various questions on finite mathematics

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if a*b = b*a is false then...

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The solution gived detailed steps on solving various questions on the mathematical logic. All concepts are shown and explained.

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1. True. First we need to show that if a system comprising two linear equations in two variables has a unique solution then the straight lines represented by the equations are nonparallel. Proof: if A system comprising two linear equations in two variables has a unique solution, then the straight lines represented by the equations must intersect because solution ONLY occurs at intersection point. Hence, two lines are not ...

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