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 · check your work with Lemma

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

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.