Question

Let A be the set of students who live within one mile of school and let B be the set of students who walk to classes. Describe the students in each of these sets.

a) A⋂B

Answer 1

The set A∩B includes students who live within one mile of school and also walk to classes; it's the intersection of both sets representing these two criteria.

Step-by-step explanation:

The set A∩B represents the students who both live within one mile of school and walk to classes. This intersection includes all students that are part of both sets A and B.

Step by step explanation for understanding set intersection (A∩B):

1. Identify the criteria for each set. Set A includes students who live within one mile of the school, whereas set B includes students who walk to classes.
2. To find A∩B, look for students who meet both criteria: living within one mile (set A) and walking to classes (set B).
3. Only students that appear in both sets A and B will be in the intersection set A∩B. These students are within one mile of the school and choose to walk to their classes.