Question

Which property justifies this statement?

x−4=x−4

A. Substitution Property of Equality

B. Transitive Property of Equality

C. Reflexive Property of Equality

D. Symmetric Property of Equality

Answer 1

D. Symmetric Property of Equality

Answer 2

C. Reflexive Property of Equality

Explanation:

`x-4=x-4`

A. Substitution Property of Equality

Some value is substituted for any variables. In the given equation, the value for x is not substituted.

B. Transitive Property of Equality

If
`c=b+1 \ and \ b+1=4` then c=4. Given equation does not represent transitive property.

C. Reflexive Property of Equality

When both sides are equal , then it is reflexive property

`x-4=x-4` represents reflexive property of equality

D. Symmetric Property of Equality

If
`1+2=a` then
`a=1+2`

Given equation does not represents symmetric property