1. Let's understand the problem: You want to know how to determine if one quantity is greater than or less than another. 2. The key symbols to compare numbers or expressions are: - Greater than: $>$ - Less than: $<$ - Greater than or equal to: $\geq$ - Less than or equal to: $\leq$ 3. To compare two numbers or expressions, subtract one from the other and analyze the result: - If $a - b > 0$, then $a > b$. - If $a - b < 0$, then $a < b$. - If $a - b = 0$, then $a = b$. 4. For example, to check if $5$ is greater than $3$, compute $5 - 3 = 2$ which is positive, so $5 > 3$. 5. When comparing variables or expressions, simplify them first, then apply the same logic. 6. Remember, inequalities can be solved or tested by isolating the variable and checking the sign of the expression. This method helps you determine if a value is greater than or less than another clearly and accurately.