Which inequalities have no solution
1 answer:
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The given statement is false because it isn't an empty set!
<u>Step-by-step explanation:</u>
We have following sets of inequalities:
From we get ,
Therefore solution set is x=2.
Now, for we get ,
Therefore solution set is x>2.
For we get ,
Therefore solution set is x<2.
Now, the union of x=2, x<2 & x>2 is -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!