# What are the two Special Inequalities?

What are the two Special Inequalities?
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The two Special Inequalities are inequalities having no solution & inequalities having infinitely many solutions. For example, x>x+1
On simplification, we get
x−x>x+1−x [Subtracting x on both sides]
$⇒$ 0>1 which is not possible.
Therefore the inequality x>x+1 has no solution. Now let us consider, x On simplification, we get
x−x $⇒$ 0<1 which is true for every value of x.
Therefore the inequality x