Is it possible to create a system of inequalities that has no solution? If so, create one and explain how the graph would show no solutions. If not, explain why.

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Atrotygma asked May 9, 2023

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Is it possible to create a system of inequalities that has no solution? If so, create one and explain how the graph would show no solutions. If not, explain why.

Mathematics
high-school

Atrotygma asked May 9, 2023

by Atrotygma

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1 Answer

13 votes

Answer: See explanation.

Explanation:

Any false inequality has no solution. For example |x+3|<-2 has no solutions for x. The graph would not display any answers for x as there is no solution due to the absolute value.

Afonso Tsukamoto answered May 14, 2023