Question

There exists a real number a such that for all real numbers x, ax = x.
a. true
b. false

Answer 1

There exists a real number, 1, which is the multiplicative identity, ensuring the equation ax = x holds true for any real number x.

Step-by-step explanation:

The student's question asks about the existence of a real number a such that for any real number x, the equation ax = x holds true. In mathematics, there is indeed such a number, and it is known as the multiplicative identity, which is 1. The property that defines this is that any number multiplied by 1 equals itself, hence the statement is true.