Consider the following sets. The universal set for this problem is the set of all quadrilaterals. A The set of all parallelograms. B = The set of all rhombuses. C = The set of all rectangles. D = The set of all trapezoids. Using only the symbols x, A, B, C, D, E, ≤, =, ‡, n, u, x,', Ø, (, and ), and write the following statements in set notation. (a) The polygon x is a parallelogram, but it isn't a rhombus. O xEA and xe B OXEAU B' OXE (AUB)' OXE (ANB)' OXEAN B' (b) There are other quadrilaterals besides parallelograms and trapezoids. O (AND)' = 0 O AUDE BUC O (AUD)' # Ø O ANDEBUC OA'N D'=Ø (c) Both rectangles and rhombuses are types of parallelograms. O CUBEA and A ≤ CUB O (CUB)' ≤ A O CUBSA OCNBEA
Consider the following sets. The universal set for this problem is the set of all quadrilaterals. A The set of all parallelograms. B = The set of all rhombuses. C = The set of all rectangles. D = The set of all trapezoids. Using only the symbols x, A, B, C, D, E, ≤, =, ‡, n, u, x,', Ø, (, and ), and write the following statements in set notation. (a) The polygon x is a parallelogram, but it isn't a rhombus. O xEA and xe B OXEAU B' OXE (AUB)' OXE (ANB)' OXEAN B' (b) There are other quadrilaterals besides parallelograms and trapezoids. O (AND)' = 0 O AUDE BUC O (AUD)' # Ø O ANDEBUC OA'N D'=Ø (c) Both rectangles and rhombuses are types of parallelograms. O CUBEA and A ≤ CUB O (CUB)' ≤ A O CUBSA OCNBEA
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:Consider the following sets. The universal set for this problem is the set of all quadrilaterals.
A = The set of all parallelograms.
B = The set of all rhombuses.
C = The set of all rectangles.
D = The set of all trapezoids.
Using only the symbols x, A, B, C, D, E, ≤, =, ‡, N, U, ×, ', Ø, (, and ), and write the following statements in set notation.
(a) The polygon x is a parallelogram, but it isn't a rhombus.
O XE A and XEB
OXEAU B
OXE (AUB)'
OXE (ANB)'
Ο ΧΕΑΠ Β΄
(b) There are other quadrilaterals besides parallelograms and trapezoids.
O (AND)' *Ø
O AUDE BUC
O (AUD)' # Ø
OANDEBUC
OA'ND' = 0
(c) Both rectangles and rhombuses are types of parallelograms.
O CUBEA and A ≤ CUB
O (CUB)' ≤A
O CUBSA
OCNBEA
OcnBSA and A≤ CNB
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