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# What is the situation when two inequalities have no solution? What is the meaning of the VERTEX of the quadratic equation? Why does the graph of a quadratic intercept the y-axis at only ONE point?

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What is the situation when two inequalities have no solution? What is the meaning of the VERTEX of the quadratic equation? Why does the graph of a quadratic intercept the y-axis at only ONE point?

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https://brainmass.com/math/basic-algebra/inequalities-quadratic-equations-intercepts-149029

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What is the situation when two inequalities have no solution?

We only consider the linear inequalities in terms of two variables x and y. The situation when two inequalities have no solution is as follows.

After we do some simplifications by ...

#### Solution Summary

Inequalities, vertices of parabolas and y-intercepts are discussed. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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