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+1|a E N and a < 6} (b) {2a a E N and a < 6} 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,-1, 1, 3, 5, 7,...} (b) {2, 4, 8, 16, 32, 64,...} 3. Define the following sets: I (a) x = C (b) ACB (c) {x, t} CA (d) A = C (e) |A| = |C| 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.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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+1|a e N and a < 6}
(b) {2a a E N and a < 6}
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,-1, 1, 3, 5, 7,...}
(b) {2, 4, 8, 16, 32, 64,...}
3. Define the following sets:
I
(a) x = C
(b) ACB
(c) {x, t} CA
(d) A = C
(e) |A| = |C|
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.)
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+1|a e N and a < 6} (b) {2a a E N and a < 6} 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,-1, 1, 3, 5, 7,...} (b) {2, 4, 8, 16, 32, 64,...} 3. Define the following sets: I (a) x = C (b) ACB (c) {x, t} CA (d) A = C (e) |A| = |C| 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.)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,