Will you check my solution to a relations question.

[Hodgey8806]

Homework Statement

I want to compose the relation "equality" with the relation "less than" in the form:
equal o less than.

Homework Equations

The Attempt at a Solution

Firstly I determine the y in (x,y) such that this is true. Graphically, it is just the values less below y=x.

Next I apply the relation of equality, and I see that the z's in (y,z) are just the same values. So the composite relationship is just "less than".--graphically the same image.

Is this correct? Thanks!

 

[Dick]

Homework Statement

I want to compose the relation "equality" with the relation "less than" in the form:
equal o less than.

Homework Equations

The Attempt at a Solution

Firstly I determine the y in (x,y) such that this is true. Graphically, it is just the values less below y=x.

Next I apply the relation of equality, and I see that the z's in (y,z) are just the same values. So the composite relationship is just "less than".--graphically the same image.

Is this correct? Thanks!

That sounds right. The 'equality' relation is an identity under composition, yes?

 

[Hodgey8806]

Yes it is. Thank you for your help :)