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1. For each of the conditional statements below, write the converse, inverse, contrapositive, and negation (fully simplified and clear). (a) If the temperature is below 85, I go outside. (b) p→ (q^r)

1. For each of the conditional statements below, write the converse, inverse, contrapositive, and negation (fully simplified and clear). (a) If the temperature is below 85, I go outside. (b) p→ (q^r)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Learning Target L1 (Core): I can write the negation, converse, and contrapositive of a conditional statement and use DeMorgan's Laws to simplify symbolic logical expressions. Directions for each of the questions below: If the original statement is in symbols, your answers should be in symbols; if it is in words, the answer should be in clear English as well. For symbolic statements, don't just put in front of the original to form the negation - use De Morgan's laws to simplify. Similarly, for English statements, do no just write "It is not that case that"... to form the negation. 1. For each of the conditional statements below, write the converse, inverse, contrapositive, and negation (fully simplified and clear). (a) If the temperature is below 85, I go outside. (b) p→ (q^r) 2. Use De Morgan's laws to state the negations of each of the following (fully simplified and clear): (a) p^ (qVr) (b) Either the food is ready, or I need to cook and I need to go to the store.
Transcribed Image Text:Learning Target L1 (Core): I can write the negation, converse, and contrapositive of a conditional statement and use DeMorgan's Laws to simplify symbolic logical expressions. Directions for each of the questions below: If the original statement is in symbols, your answers should be in symbols; if it is in words, the answer should be in clear English as well. For symbolic statements, don't just put in front of the original to form the negation - use De Morgan's laws to simplify. Similarly, for English statements, do no just write "It is not that case that"... to form the negation. 1. For each of the conditional statements below, write the converse, inverse, contrapositive, and negation (fully simplified and clear). (a) If the temperature is below 85, I go outside. (b) p→ (q^r) 2. Use De Morgan's laws to state the negations of each of the following (fully simplified and clear): (a) p^ (qVr) (b) Either the food is ready, or I need to cook and I need to go to the store.
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