Question

Which of the following properties justifies that: "If XU = UV and UV PQ, then XU = PQ"?

a. reflexive b. symmetric
c. transitive d. equivalence​

Answer 1

Transitive property

Explanation:

Given

`XU = UV`

`UV = PQ`

Then:

`XU = PQ`

Required

Determine the property

The property is transitive.

It states that:

Given that:

`a= b` and
`b = c`

Then:

`a = c`

When this is applied here, we have:

Given that:

`XU = UV` and
`UV = PQ`

Then:

`XU = PQ`