T T T T T T T T T F F F F F F F F F The negation of If it rains, then I'll study is If it rains, I'll not study. The negation of If it rains, then I'll study is If it does not rain, I'll not study. The negation of If it rains, then I'll study is It does rain or I'll not study. The negation of If it rains, then I'll study is It rains and I'll not study. For sets union distributes over intersection. For sets intersection distributes over union. For statements "and" distributes over "or". For statements "or" distributes over "and". P→ (Q V R) is equivalent to P\~Q → R

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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Need help with true or false for following problems (if can give short explanation would be greatly appreciated...)

T
T
T
T
T
T
T
T
T
F
F
F
F
F
F
F
F
F
The negation of If it rains, then I'll study is If it rains, I'll not study.
The negation of If it rains, then I'll study is If it does not rain, I'll not study.
The negation of If it rains, then I'll study is It does rain or I'll not study.
The negation of If it rains, then I'll study is It rains and I'll not study.
For sets union distributes over intersection.
For sets intersection distributes over union.
For statements "and" distributes over "or".
For statements “or” distributes over “and”.
P→ (QVR) is equivalent to PA~Q→ R
Transcribed Image Text:T T T T T T T T T F F F F F F F F F The negation of If it rains, then I'll study is If it rains, I'll not study. The negation of If it rains, then I'll study is If it does not rain, I'll not study. The negation of If it rains, then I'll study is It does rain or I'll not study. The negation of If it rains, then I'll study is It rains and I'll not study. For sets union distributes over intersection. For sets intersection distributes over union. For statements "and" distributes over "or". For statements “or” distributes over “and”. P→ (QVR) is equivalent to PA~Q→ R
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