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4. Use the following Venn diagram for this question. P 67 8 r 4 q (a) List the regions of the Venn diagram that make the following statement true: (-p→q) → r. (b) Construct an equivalent statement to the one in (a) using only A, V, and/or using as few connectives as possible. (c) List the regions of the Venn diagram that make the following statement true: p→ (q→→r).

4. Use the following Venn diagram for this question. P 67 8 r 4 q (a) List the regions of the Venn diagram that make the following statement true: (-p→q) → r. (b) Construct an equivalent statement to the one in (a) using only A, V, and/or using as few connectives as possible. (c) List the regions of the Venn diagram that make the following statement true: 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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4. Use the following Venn diagram for this question. Р 5 r 6 8 q (a) List the regions of the Venn diagram that make the following statement true: (-p→q) → r. (b) Construct an equivalent statement to the one in (a) using only A, V, and/or using as few connectives as possible. (c) List the regions of the Venn diagram that make the following statement true: p→ (q→→r). (d) Is→ commutative? associative? Explain your answer. 1
Transcribed Image Text:4. Use the following Venn diagram for this question. Р 5 r 6 8 q (a) List the regions of the Venn diagram that make the following statement true: (-p→q) → r. (b) Construct an equivalent statement to the one in (a) using only A, V, and/or using as few connectives as possible. (c) List the regions of the Venn diagram that make the following statement true: p→ (q→→r). (d) Is→ commutative? associative? Explain your answer. 1
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