If R = {(x,y)| y = 3x + 2}, then R
This presentation is the property of its rightful owner.
Sponsored Links
1 / 7

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


  • 33 Views
  • Uploaded on
  • Presentation posted in: General

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.

Download Presentation

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


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}


If r x y y 3x 2 then r 1 x 3y 2 2 y x 2 3

  • What is the first line of this proof?

  • Let x  R.

  • Let x  R-1.

  • Let (x,y)  R.

  • Let (x,y)  R-1.


If r x y y 3x 2 then r 1 x 3y 2 2 y x 2 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)


If r x y y 3x 2 then r 1 x 3y 2 2 y x 2 3

  • 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) 


If r x y y 3x 2 then r 1 x 3y 2 2 y x 2 3

  • 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) 


If r x y y 3x 2 then r 1 x 3y 2 2 y x 2 3

  • 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) 


If r x y y 3x 2 then r 1 x 3y 2 2 y x 2 3

  • 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) 


  • Login