Question

If ( x = y ) and ( y = z ), which statement must be true?

a) ( x = z )
b) ( z = x )
c) ( -x = -2 )
d) ( -x = 2 )

Answer 1

The statements ( x = z ) and ( z = x ) must be true given the transitive property of equality, indicating that if x equals y and y equals z, then x must also equal z.

Step-by-step explanation:

If ( x = y ) and ( y = z ), then by the transitive property of equality, which states if a = b and b = c, then a = c, the statement that must be true is both ( x = z ) and ( z = x ). They represent the same relationship since equality is symmetrical. The options concerning -x are unrelated without additional information about the values of x.