Step 4: Deductive/Inductive/Law of Detachment/Law of Syllogism

At Fumio's school, if a student is late five times, then the student will receive a detention. Fumio has been late to school five time. Therefore, he will receive a detention.

• Inductive

• Deductive

A dental assistant notices that a patient has never been on time for an appointment. She concludes that the patient will be late for her next appointment.

• Inductive

• Deductive

A person must have a membership to work out at a gym. Jessie is working out at that gym. Jessie has a membership.

• Inductive

• Deductive

If Emilio decides to go to a concert tonight, then he will miss football practice. Tonight, Emilio went to the concert. Emilio missed football practice.

• Inductive

• Deductive

Every Wednesday, Jacy's mother calls. Today is Wednesday, so Jacy concludes that her mother will call.

• Inductive

• Deductive

Whenever Lena has attended a tutoring session, she notices that her grades have improved. Lena attends a tutoring session, and she concludes her grades will improve.

• Inductive

• Deductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Right angles are congruent. <1 and <2 are right angles.

Conclusion: <1 and <2 are congruent.

• Valid

  Law of Detachment

• Valid

  Law of Syllogism

• Invalid

Tags

CCSS.7.G.B.5

If a figure is a square, it has four right angles. Figure ABCD has four right angles.

Conclusion: Figure ABCD is a square.

• Valid

  Law of Detachment

• Valid

  Law of Syllogism

• Invalid

If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.

Conclusion: Dante obtained a part-time job.

• Valid

  Law of Detachment

• Valid

  Law of Syllogism

• Invalid

If Jamie finishes his homework, he will go out with his friends. If Jamie goes out with his friends, he will go to the movies.

Conclusion: If Jamal finishes his homework, then he will go to the movies.

• Valid

  Law of Detachment

• Valid

  Law of Syllogism

• Invalid