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(e) A x (B – C) = (A × B), (Ax C). %3D (f) (A – B) × C = (A x C). (Bx C). (g) If AC B, then A x C ВХ .

(e) A x (B – C) = (A × B), (Ax C). %3D (f) (A – B) × C = (A x C). (Bx C). (g) If AC B, then A x C ВХ .

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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I just need that you solve e,f,g and h Please, Thanks.
Problem 155 Let A (1, 2), B = [1, 3), and C = (2, 4]. Use these set exam- ples (note that these sets are intervals) to illustrate the following properties in Theorem 154 by drawing the sets on xy-planes. (a) A x (BnC) = (A x B). (A x C). |3D (b) A x (BUC) = (A × B). (Ax C). (c) (ANB) x C = (A × C). (Вх С). (d) (AUB) × C = (A × C), (B× C). (e) A x (B – C) = (A × B), (АхС). (f) (A – B) × C = (A x C). (B × C). (g) If A C B, then A x C ВХС. (h) If A C B, then C x A Cx B.
Transcribed Image Text:Problem 155 Let A (1, 2), B = [1, 3), and C = (2, 4]. Use these set exam- ples (note that these sets are intervals) to illustrate the following properties in Theorem 154 by drawing the sets on xy-planes. (a) A x (BnC) = (A x B). (A x C). |3D (b) A x (BUC) = (A × B). (Ax C). (c) (ANB) x C = (A × C). (Вх С). (d) (AUB) × C = (A × C), (B× C). (e) A x (B – C) = (A × B), (АхС). (f) (A – B) × C = (A x C). (B × C). (g) If A C B, then A x C ВХС. (h) If A C B, then C x A Cx B.
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