Back to 2.7 Logical Arguments

2.7 Exercise 5

Avg difficulty 2.5

Each pair of statements represents true premises in a logical argument. Based on these premises, apply the chain rule for conditional arguments to determine a valid and sound conclusion.

  1. If my roommate goes to work, then my roommate will get paid. If my roommate gets paid, then my roommate will pay their bills.
  2. If robins can fly, then some birds can fly. If some birds can fly, then we will watch birds fly.
  3. If Irma is a teacher, then Irma has a college degree. If Irma has a college degree, then Irma graduated from college.

OpenStax Contemporary Mathematics, 2.7 Logical Arguments, exercise 5

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