Translate the following verbal statement into an inequality expression."The speed limit on the interstate is 6565 miles per hour or less.

To translate the verbal statement into an inequality expression, we first need to identify the key components of the statement. Here, the speed limit is specified as "6565 miles per hour or less." This suggests that we are dealing with a speed limit that can be described by a variable representing speed.

Steps to Formulate the Inequality

1. Identify the Variable: Let $x$ represent the speed of a vehicle in miles per hour.

2. Set Inequality Based on the Statement: The phrase "or less" indicates that the speed can be equal to 6565 or any value below it. In inequality terms, this means that the speed $x$ must be less than or equal to 6565.

3. Write the Inequality Expression: Based on our interpretation, we can express the speed limit as follows:

$x \leq 6565$

Final Answer

The inequality expression representing the statement "The speed limit on the interstate is 6565 miles per hour or less" is:

$x \leq 6565$

This means that any speed $x$ that meets this condition is compliant with the speed limit. The use of the less than or equal sign ($\leq$) accurately captures the restriction indicated by "or less."