If an equation is an identity, then how many solutions does it have?

zero
one
infinite

Question

If an equation is an identity, then how many solutions does it have?

zero
one
infinite

anonymous · Answer

infinite

anonymous · Answer

Infinite. For example, the equation 3+x = 3 + x is an identity. For what values of x does this equation remain true? Of course, any value of x will work. Thus, it has infinite solutions. Doug does make a good point - if the domain (the x values) have been restricted to a finite number, then the identity will have that same number of answers. But, given your choices of 0, 1, or infinite, you definitely want to go with infinite.