What is an algebraic inequality?

When we have two statements and declare that they are equal, we are expressing an algebraic equality. For instance:
${\displaystyle \frac{4}{2}=2}$ is an equality
${\displaystyle \frac{4}{2}=x}$ is also an equality (and here we'd be looking for the value ${\displaystyle x}$)
An algebraic inequality is when there isn't a specific value or number where both sides equal each other. Instead, we'll be looking for a range of values that satisfy the statement. For instance:
${\displaystyle \frac{4}{2}<x}$
We know that the value ${\displaystyle x}$ is all values less than 2 (there's an infinite number of solutions).