Learning Target L1 (Core): I can write the negation, converse, and contrapositive of a conditional statement and useDeMorgan'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 insymbols; if it is in words, the answer should be in clear English as well. For symbolic statements, don't justput in front of the original to form the negation - use De Morgan's laws to simplify. Similarly, for Englishstatements, 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.

Answered: 1. For each of the conditional…

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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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)