Bridger Joyce

2023-03-02

What is an algebraic inequality?

el4arbfeq

Beginner2023-03-03Added 5 answers

When we have two statements and declare that they are equal, we are expressing an algebraic equality. For instance:

$\frac{4}{2}=2$ is an equality

$\frac{4}{2}=x$ is also an equality (and here we'd be looking for the value $x$)

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:

$\frac{4}{2}<x$

We know that the value $x$ is all values less than 2 (there's an infinite number of solutions).

$\frac{4}{2}=2$ is an equality

$\frac{4}{2}=x$ is also an equality (and here we'd be looking for the value $x$)

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:

$\frac{4}{2}<x$

We know that the value $x$ is all values less than 2 (there's an infinite number of solutions).