Question 1160569
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            The statement in the post by @MathLover1, that the absence of solutions 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;of inequality means &nbsp;NONSENSE &nbsp;<U>is &nbsp;&nbsp;&nbsp;w r o n g &nbsp;&nbsp;and &nbsp;&nbsp;i n c o r r e c t</U>.



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There are thousands examples from real life and from Math, when absence of solutions is absolutely normal and regular situation.


For example, consider inequality

    sin(x) > 1.


It has no solutions; but the sinusoid exists and there is no any NONSENSE in it . . . 



Another example.  Let y be the position in time of the ferries cabine (y is the height over the ground).

The inequality y < 0 has no solutions, and it is very good.

It only means that the the ferry is designed correctly (!)

Would the inequality y < 0 had solutions, it would mean death or injury of people in cabin.



Another widely known inequality is  x^2 < 0.

It has no solutions (the square of the real number CAN NOT be negative), and it is absolutely normal situation.
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