Real World Inequalities

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.

The symbol $$<$$ means 'less than'. It indicates that the value on the left is smaller than the value on the right.

The symbol $$>$$ means 'greater than'. It indicates that the value on the left is larger than the value on the right.

The symbol @@ eq@@ means 'not equal to'. It indicates that the two values being compared are different.

This means that the value of x can be 3 or any number less than 3.

This means that the value of x can be 25 or any number greater than 25.

This is represented as $$x \text{ } \text{is less than or equal to} \text{ } 3$$ or $$x \text{ } \text{is at most} \text{ } 3$$ .

This is expressed as $$x < 12$$ .

This is represented as $$x \text{ } \text{is greater than or equal to} \text{ } 25$$ .

It represents that the maximum capacity is 10, meaning it can hold 10 or fewer.