{e, 9) € R² : 52. {(x,y) € R² : (y-x)(y+x) = 0} (y-x²)(y+x²) = 0}
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 15E
Related questions
Question
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Only D52
![8
C. Find the following cardinalities.
29. |{{1}, {2, {3,4}},ø}|
30, |{{1,4},a,b, {{3,4}}, {Ø}}|
31. |{{{1}, {2, {3, 4}},Ø}}|
32. |{{{1,4},a,b, {{3,4}}, {ø}}|
33. |{x € Z: \x| < 10}|
The Ca.
34. |{x €N: \x| < 10}|
35. |{x € Z:x² < 10}|
36. |{x €N:x² < 10}|
37. 1{z €N:x2 <아}
38, |{x €N: 5x < 20}|
Th
exam
Fig
eler
D. Sketch the following sets of points in the x-y plane.
39. {(x, y):x€ [1,21,y € [1,2]}
40. {(x,y):xE [0, 1], y e [1,21}
41. {(x, y) : x € [-1, 1], y = 1}
42. {(2, y): x= 2,y € [0, 1]}
43. {(x,y): |2| = 2,y E [0, 1)}
44. {(x, x*) : x € R}
45. {(x, y) : #,y € R,x² + y² = 1}
46. {(x, y) : x,y € R,x² + y² s 1}
47. {(x, y) : x, y € R, y z x² – 1}
48. {(x, y) : x, y € R, x> 1}
49. {(x,x+ y) ;x € R, y € Z}
50. {x, 등): xeR,yEN}
51. {(x, y) e R² : (y – x)(y +x) = 0}
(52, {(x,y) e R² : (y–x²)(y + x²) = 0}
A
ele
1.2 The Cartesian Product
Given two sets A and B, it is possible to "multiply" them to produce a new
set denoted as Ax B. This operation is called the Cartesian product. To
understand it, we must first understand the idea of an ordered pair.
Definition 1.1 An ordered pair is a list (x, y) of two things x and y,
enclosed in parentheses and separated by a comma.
For example, (2. 4) is an oud](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd06cff55-e1fa-4bcb-ab93-6fc7f7940672%2F8f02f70a-1df1-40bc-ba5c-15ec57aa275d%2Fibtymkv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8
C. Find the following cardinalities.
29. |{{1}, {2, {3,4}},ø}|
30, |{{1,4},a,b, {{3,4}}, {Ø}}|
31. |{{{1}, {2, {3, 4}},Ø}}|
32. |{{{1,4},a,b, {{3,4}}, {ø}}|
33. |{x € Z: \x| < 10}|
The Ca.
34. |{x €N: \x| < 10}|
35. |{x € Z:x² < 10}|
36. |{x €N:x² < 10}|
37. 1{z €N:x2 <아}
38, |{x €N: 5x < 20}|
Th
exam
Fig
eler
D. Sketch the following sets of points in the x-y plane.
39. {(x, y):x€ [1,21,y € [1,2]}
40. {(x,y):xE [0, 1], y e [1,21}
41. {(x, y) : x € [-1, 1], y = 1}
42. {(2, y): x= 2,y € [0, 1]}
43. {(x,y): |2| = 2,y E [0, 1)}
44. {(x, x*) : x € R}
45. {(x, y) : #,y € R,x² + y² = 1}
46. {(x, y) : x,y € R,x² + y² s 1}
47. {(x, y) : x, y € R, y z x² – 1}
48. {(x, y) : x, y € R, x> 1}
49. {(x,x+ y) ;x € R, y € Z}
50. {x, 등): xeR,yEN}
51. {(x, y) e R² : (y – x)(y +x) = 0}
(52, {(x,y) e R² : (y–x²)(y + x²) = 0}
A
ele
1.2 The Cartesian Product
Given two sets A and B, it is possible to "multiply" them to produce a new
set denoted as Ax B. This operation is called the Cartesian product. To
understand it, we must first understand the idea of an ordered pair.
Definition 1.1 An ordered pair is a list (x, y) of two things x and y,
enclosed in parentheses and separated by a comma.
For example, (2. 4) is an oud
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