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) {a a € Z and a² < 10} (b) {a²a E N and a is odd} 2. Write the following sets in set-builder notation. There may be more than one correct representation; but t your representation must restate membership in the set in some way. (a) {1, 4, 7, 10, 13,...} (b) {3,9, 27, 81,...} 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) x ED (b) BCD (c) DCB (d) {x, v} CC (e) D=C (f) |D| = |C|
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) {a a € Z and a² < 10} (b) {a²a E N and a is odd} 2. Write the following sets in set-builder notation. There may be more than one correct representation; but t your representation must restate membership in the set in some way. (a) {1, 4, 7, 10, 13,...} (b) {3,9, 27, 81,...} 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) x ED (b) BCD (c) DCB (d) {x, v} CC (e) D=C (f) |D| = |C|
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) {a a € Z and a² < 10}
(b) {a² | ae N and a is odd}
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) {1,4,7, 10, 13,...}
(b) {3,9, 27, 81,...}
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) xED
(b) BCD
(c) DCB
(d) {x, v} CC
(e) D=C
(f) |D| = |C|
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