Use-the-law-of-algebra-of-preposition-to-verify-the-validity-of-the-following-argument-If-I-study-then-I-will-not-fail-the-examination-If-I-do-not-play-football-then-I-will-study-But-I-fail-the-exam

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Question Number 178573 by Spillover last updated on 18/Oct/22

Use the law of algebra of preposition to verify the validity of the following argument If I study,then I will not fail the examination. If I do not play football,then I will study. But I fail the examination. Therefore,I played football

$$\mathrm{Use}\:\mathrm{the}\:\mathrm{law}\:\mathrm{of}\:\mathrm{algebra}\:\mathrm{of}\:\mathrm{preposition} \\ $$$$\mathrm{to}\:\mathrm{verify}\:\mathrm{the}\:\mathrm{validity}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{argument} \\ $$$$\mathrm{If}\:\mathrm{I}\:\mathrm{study},\mathrm{then}\:\mathrm{I}\:\mathrm{will}\:\mathrm{not}\:\mathrm{fail}\:\mathrm{the}\:\mathrm{examination}. \\ $$$$\mathrm{If}\:\mathrm{I}\:\mathrm{do}\:\mathrm{not}\:\mathrm{play}\:\mathrm{football},\mathrm{then}\:\mathrm{I}\:\mathrm{will}\:\mathrm{study}. \\ $$$$\mathrm{But}\:\mathrm{I}\:\mathrm{fail}\:\mathrm{the}\:\mathrm{examination}. \\ $$$$\mathrm{Therefore},\mathrm{I}\:\mathrm{played}\:\mathrm{football} \\ $$

Answered by Spillover last updated on 23/Oct/22