Precalc0001to0005-page16 - (Section 0.2: Logic) 0.2.7 PART...

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(Section 0.2: Logic) 0.2.7 PART E: NECESSARY CONDITIONS and SUFFICIENT CONDITIONS p is a necessary condition for q ± q ± p () • That is, for q to be true, it is required that p must be true. p is a sufficient condition for q ± p ± q • That is, if p is true, then it is guaranteed that q must be true. Example 6 (Necessary Conditions and Sufficient Conditions; Revisiting Example 1) Consider the “if-then” statement: If I get an A p ±² ³´ ³ , then I pass q ±²´ . Is p sufficient for q ? Is p necessary for q ? § Solution p is sufficient
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This document was uploaded on 12/29/2011.

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