2 of 4 02 (Core): I can represent a set in roster notation and set-builder notation; determine if an object is an element of a set; and determine set relationships (equality, subset). 1. Write the following sets in roster notation: (a) {n € Z | n² = 9} (b) {n EN| (2n- 1)/2 € N} 2. Write the following sets in set-builder notation. There may be more than one correct representation; but your representation must restate membership in the set in some way. (a) {-3, -2, -1, 0, 1, 2, 3} (b) (a, e, i, o, u} 3. Define the following sets: A = {x,y,z,t} B = {s, t, u, v, w, x} {t, v, u, y} C= D = {s, t, u, v} Determine whether each of the statements is true, false, or meaningless. State your answer clearly. (You do not have to justify your answers, but they have to be correct.) (a) y = C (b) CC {x,t} (c) |B| = |C| (d) y A (e) ACA
2 of 4 02 (Core): I can represent a set in roster notation and set-builder notation; determine if an object is an element of a set; and determine set relationships (equality, subset). 1. Write the following sets in roster notation: (a) {n € Z | n² = 9} (b) {n EN| (2n- 1)/2 € N} 2. Write the following sets in set-builder notation. There may be more than one correct representation; but your representation must restate membership in the set in some way. (a) {-3, -2, -1, 0, 1, 2, 3} (b) (a, e, i, o, u} 3. Define the following sets: A = {x,y,z,t} B = {s, t, u, v, w, x} {t, v, u, y} C= D = {s, t, u, v} Determine whether each of the statements is true, false, or meaningless. State your answer clearly. (You do not have to justify your answers, but they have to be correct.) (a) y = C (b) CC {x,t} (c) |B| = |C| (d) y A (e) ACA
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:2 of 4
02 (Core): I can represent a set in roster notation and set-builder notation; determine if an object
is an element of a set; and determine set relationships (equality, subset).
1. Write the following sets in roster notation:
(a) {n Z | n² = 9}
(b) {n N (2n-1)/2 € N}
2. Write the following sets in set-builder notation. There may be more than one correct representation;
but your representation must restate membership in the set in some way.
(a) {-3, -2,-1,0, 1, 2, 3}
(b) (a, e, i, o, u}
3. Define the following sets:
A = {x,y,z,t}
B = {s, t, u, v, w, x}
C = {t, v, u, y}
D = {s, t, u, v}
Determine whether each of the statements is true, false, or meaningless. State your answer clearly.
(You do not have to justify your answers, but they have to be correct.)
(a) y = C
(b) CC {x,t}
(c) |B| = |C|
(d) y CA
(e) ACA
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