Learning Target 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) {a² + 1 | a € N} (b) {a 2a +1≤ 15 and a € 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) ({17, 13, 9, 5,...} (b) (3, 6, 12, 24, 48,...} 3. Define the following sets: 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.) I (a) t CA (b) te D A = {x,y, z, t} B = {s, t, u, v, w, x} C = {t, v, u, s} D = {s, t, u, v} (c) CCB (d) {s, t} CC (e) C = B (f) |C| = |D|
Learning Target 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) {a² + 1 | a € N} (b) {a 2a +1≤ 15 and a € 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) ({17, 13, 9, 5,...} (b) (3, 6, 12, 24, 48,...} 3. Define the following sets: 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.) I (a) t CA (b) te D A = {x,y, z, t} B = {s, t, u, v, w, x} C = {t, v, u, s} D = {s, t, u, v} (c) CCB (d) {s, t} CC (e) C = B (f) |C| = |D|
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:Learning Target 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) {a² +1 | a € N}
(b) {a 2a +1≤ 15 and a € 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) {17, 13, 9, 5,... }
(b) (3, 6, 12, 24, 48,...}
3. Define the following sets:
A = {x,y,z,t}
B = {s, t, u, v, w,x}
C = {t, v, u, s}
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) t CA
(b) te D
(c) CCB
(d) {s, t} CC
(e) C = B
(f) |C| = |D|
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