Question

the weight limit for a bridge is 10,000 pounds. which inequality describes this scenario?
a. $w > 10000$
b. $w \geq 10000$
c. $w \leq 10000$
d. $w < 10000$

Explanation:

Step1: Understand the Scenario

The bridge's weight limit is 10,000 pounds, meaning the weight \( w \) on the bridge can be at most 10,000 pounds (it can be equal to 10,000 or less).

Step2: Analyze the Inequalities

• Option a: \( w > 10000 \) means weight is more than 10,000, which is not allowed.
• Option b: \( w \geq 10000 \) means weight is 10,000 or more, which is not allowed.
• Option c: \( w \leq 10000 \) means weight is 10,000 or less, which matches the weight limit.
• Option d: \( w < 10000 \) means weight is less than 10,000, but it doesn't include the case when weight is exactly 10,000 (which should be allowed as it's the limit).

Answer:

c. \( w \leq 10000 \)