In an inequality, what does it mean when the sign is less than?

When the sign in an inequality indicates "less than," it signifies that the value or expression on the left side is numerically smaller than that of the right side. This relationship means that if you were to compare the two sides, the left side would have a lesser quantity or value.

For example, if you have an inequality like ( x < 5 ), this tells you that the value of ( x ) is any number that is less than 5, such as 4, 3, or even negative numbers. The fundamental nature of inequalities is to indicate a comparative relationship between two quantities, and the "less than" sign clearly defines this relative position, emphasizing that the left side cannot equal or exceed the right side.

This understanding is crucial in solving inequalities, as it directly informs how you might manipulate or rearrange them to isolate variables or determine solution sets.