Problem 6. Let A, B, C, D, E, F and G be the following sets: • A = {1, 2, 3, 4} • B = {1, 1, 3} • C= {1, {3}, 1, {1, 3}, {3, 3, 1}} • D = {2, 2, 2, 3, 3, 4} • E = {1, 2} F = {3, 4} •G = {0, 3, 4} Let the universal set for A, B, C, D be defined by: U = {1, 2, 4, 3} UP ({1, 2, 4, 3}) Provide the answer to the following questions about the above sets. Justify your answers unless otherwise specified. 6(g) Do E and G partition A? 6(h) Write the contents of A U C in roster notation. (No justification needed for 6(f)) 6(i) Write the contents of An C in roster notation. (No justification needed for 6(g))
Problem 6. Let A, B, C, D, E, F and G be the following sets: • A = {1, 2, 3, 4} • B = {1, 1, 3} • C= {1, {3}, 1, {1, 3}, {3, 3, 1}} • D = {2, 2, 2, 3, 3, 4} • E = {1, 2} F = {3, 4} •G = {0, 3, 4} Let the universal set for A, B, C, D be defined by: U = {1, 2, 4, 3} UP ({1, 2, 4, 3}) Provide the answer to the following questions about the above sets. Justify your answers unless otherwise specified. 6(g) Do E and G partition A? 6(h) Write the contents of A U C in roster notation. (No justification needed for 6(f)) 6(i) Write the contents of An C in roster notation. (No justification needed for 6(g))
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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Transcribed Image Text:Problem 6. Let A, B, C, D, E, F and G be the following sets:
• A = {1, 2, 3, 4}
B = {1, 1, 3}
.С- 1, (3}, 1, (1, 3}, (3, 3, 1}}
• D = {2, 2, 2, 3, 3, 4}
• E = {1, 2}
• F= {3, 4}
• G= {0, 3, 4}
Let the universal set for A, B, C, D be defined by:
• U= {1, 2, 4, 3} UP ({1, 2, 4, 3})
Provide the answer to the following questions about the above sets. Justify your answers unless otherwise
specified.
6(g) Do E and G partition A?
6(h) Write the contents of A U Cin roster notation. (No justification needed for 6(f))
6(i) Write the contents of An C in roster notation. (No justification needed for 6(g))
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