Lemma
EasySets & logic
OpenStax, Contemporary Mathematics §2.7 Logical Arguments · Example 3 · Combinatorics · Sets & logic

Logical Arguments · Example 3

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.

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

~5 minWritten answer · compare with the solution

OpenStax, Contemporary Mathematics · §2.7 Logical Arguments · Example 3

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.