Suppose n(U) = w, n(A) = x, n(B) = y, and n(A ∪ B) = z. (a) Why must x be less than or equal to z? (b) If A ≠ U and B ≠ U, fill in the blank with the most appropriate symbol: <, >, ≤, or ≥. w?z w?y y?z x?w Draw a Venn diagram illustrating the composition of U. (Enter 0 for any empty subset. No hand written solution and no image

Suppose n(U) = w, n(A) = x, n(B) = y, and n(A ∪ B) = z. (a) Why must x be less than or equal to z? (b) If A ≠ U and B ≠ U, fill in the blank with the most appropriate symbol: <, >, ≤, or ≥. w?z w?y y?z x?w Draw a Venn diagram illustrating the composition of U. (Enter 0 for any empty subset. No hand written solution and no image

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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Question

Suppose n(U) = w, n(A) = x, n(B) = y, and n(A ∪ B) = z. (a) Why must x be less than or equal to z?

(b) If A ≠ U and B ≠ U, fill in the blank with the most appropriate symbol: <, >, ≤, or ≥.

w?z

w?y

y?z

x?w

Draw a Venn diagram illustrating the composition of U. (Enter 0 for any empty subset. No hand written solution and no image

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