Question

at a robotics competition, the robotics team can be made of up to 8 pe
choose the inequality statement that best represents this situation. let p represen
people that could be on a robotics team.
any value less than or equal to 8
p ≥ 8
p > 8
p < 8
p ≤ 8

Explanation:

Step1: Understand the problem

We need to find the inequality that represents the number of people \( p \) on a robotics team, where the team can have up to 8 people (meaning the number of people can be 8 or less).

Step2: Analyze each inequality

• \( p \geq 8 \): This means \( p \) is greater than or equal to 8, which would represent a team with 8 or more people. But the problem states the team can be made of up to 8 people, so this is incorrect.
• \( p > 8 \): This means \( p \) is greater than 8, representing a team with more than 8 people. This is incorrect as the team can have at most 8 people.
• \( p < 8 \): This means \( p \) is less than 8, representing a team with fewer than 8 people. But the problem allows for exactly 8 people, so this is incorrect.
• \( p \leq 8 \): This means \( p \) is less than or equal to 8, which correctly represents the situation where the number of people on the team can be 8 or any number less than 8.

Answer:

\( p \leq 8 \) (the option with \( p \leq 8 \))