Which of the following properties justifies that: "If XU = UV and UV PQ, then XU = PQ"? a. reflexive b. symmetric
c. transitive d. equivalence​

Transitive property

Step-by-step explanation:

Given

Then:

Required

Determine the property

The property is transitive.

It states that:

Given that:

and

Then:

When this is applied here, we have:

Given that:

and

Then:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions