We can describe $15x - 10$ as an expression. We would describe $6x - 2 < 35$ as an $\boxed{?}$
Answer (1)
Recognize that the expression 6 x − 2 < 35 contains a 'less than' symbol.
Identify that this symbol indicates an inequality.
Conclude that 6 x − 2 < 35 is an inequality.
The answer is inequality: in e q u a l i t y .
Explanation
Understanding the Problem The problem states that 15 x − 10 is an expression and asks us to classify 6 x − 2 < 35 .
Identifying the Relationship The expression 6 x − 2 < 35 includes the 'less than' symbol, which indicates a relationship where one side is smaller than the other. This type of relationship is called an inequality.
Conclusion Therefore, 6 x − 2 < 35 is an inequality.
Examples
In real life, inequalities are used to describe situations where quantities are not exactly equal. For example, if you have a budget of $50 for groceries, you can represent this as an inequality: the amount you spend must be less than or equal to $50. Similarly, speed limits on roads are expressed as inequalities, ensuring that drivers' speeds are less than or equal to the posted limit to maintain safety.
