Use the diagram to determine a true conditional statement.

Based on the diagram, which is a true statement?

O If a student plays in the band, then he/she is an
honor student

O If a student is an honor student, then he/she plays in the band.

O If a student is not an honor student, then he/she
cannot play in the band.

O If a student is an honor student, then he/she may
also be a band member.

d. If a student is an honor student, then he/she may also be a band member.

Explanation:

The Venn diagram above shows an intersection between two circles that represents students who play in the band and students and those that are honor students, respectively.

This diagram implies the following:

1. A student can play in the band only without being an honor student (the blue region that doesn't overlap with the other circle)

2. A student can be an honor student without playing in the band (the red/orange region that doesn't overlap with the other blue circle)

3. A student can be an honor student and also be a band member (the region where both circles overlap represents this set of students)

Based on this, the following conditional statement can be made:

✔️If a student is an honor student, then he/she may also be a band member.

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