1 / 7

If R = {(x,y)| y = 3x + 2}, then R -1 = x = 3y + 2 (2) y = (x – 2)/3

If R = {(x,y)| y = 3x + 2}, then R -1 = x = 3y + 2 (2) y = (x – 2)/3 {(x,y)| y = 3x + 2} (4) {(x,y)| y = (x – 2)/3} (5) {(x,y)| y – 2 = 3x} (6) {(x,y)| y = x/3 – 2}. What is the first line of this proof? Let x  R. Let x  R -1 . Let (x,y)  R.

francis-vaughan
Télécharger la présentation

If R = {(x,y)| y = 3x + 2}, then R -1 = x = 3y + 2 (2) y = (x – 2)/3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. If R = {(x,y)| y = 3x + 2}, then R-1 = • x = 3y + 2 (2) y = (x – 2)/3 • {(x,y)| y = 3x + 2} (4) {(x,y)| y = (x – 2)/3} • (5) {(x,y)| y – 2 = 3x} (6) {(x,y)| y = x/3 – 2}

  2. What is the first line of this proof? • Let x  R. • Let x  R-1. • Let (x,y)  R. • Let (x,y)  R-1.

  3. What is the first line of this proof? • Let x  R. (2) Let x  R-1. • Let (x,y)  R. (4) Let (x,y)  R-1. • Let (x,y)  Dom(R) (6) Let (x,y)  Dom(R-1) • (7) Let x  Dom(R) (8) Let x  Dom(R-1)

  4. Let A = {1,2,3} with relations defined on A given by R = {(1,1), (2,3)} and S = {(1,3), (2,1), (3,2)}. • Then S  R = • { 1, 2, 2, 3} (2) { 3, 2, 3, 1} • {(2,1), (3,3)} (4) {(1,1), (2,1)} • {(1,1), (2,3), (1,3)} (6) {(1,3), (2,2)} • (7) {(1,1), (2,3), (1,3), (2,1), (3,2)} (8) 

  5. Let A = {1,2,3} with relations defined on A given by R = {(1,1), (2,3)} and S = {(1,3), (2,1), (3,2)}. • Then R  S = • { 1, 2, 2, 3} (2) { 3, 2, 3, 1} • {(2,1), (3,3)} (4) {(1,1), (2,1)} • {(1,1), (2,3), (1,3)} (6) {(1,3), (2,2)} • (7) {(1,1), (2,3), (1,3), (2,1), (3,2)} (8) 

  6. Let A = {1,2,3} with relations defined on A given by R = {(1,1), (2,3)} and S = {(1,3), (2,1), (3,2)}. • Then R  R = • { 1, 2, 2, 3} (2) { 3, 2, 3, 1} • {(2,1), (3,3)} (4) {(1,1), (2,1)} • {(1,1), (2,3), (1,3)} (6) {(1,3), (2,2)} • (7) {(1,1), (2,3), (1,3), (2,1), (3,2)} (8) 

  7. Let A = {1,2,3} with relations defined on A given by R = {(1,1), (2,3)} and S = {(1,3), (2,1), (3,2)}. • Then S  S = • { 1, 2, 2, 3} (2) { 3, 2, 3, 1} • {(2,1), (3,3)} (4) {(1,1), (2,1)} • {(1,2), (2,3), (3,1)} (6) {(1,3), (2,2)} • (7) {(1,1), (2,3), (1,3), (2,1), (3,2)} (8) 

More Related