A person's birth date consists of the month, day, and year in which that person was born. The domain for a relation R is a set of people. No two people in the group have the same birth date. A person x is related to person y under the relation if x's birth date is earlier than y's birth date. Which description correctly characterizes the relation

A strict order and a total order.

Step-by-step explanation:

We are told that no two people in the group have the same birth date. Thus, it means either one of the date is less than the other. This is asymmetric and as such it is a characteristic of strict orders.

Also, since x’s birth date is earlier than y’s birth date, it means that x ≤ y which is the relation in total order which states that in general, two numbers have two conditions where either of them is less than or equal to the other and as such the two numbers selected don't really matter.

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

w< 4

step-by-step explanation: