Which statement about this equation is true?

Question

x + 2 = x + 4



Responses

The equation has no solution.
The equation has no solution.

The equation has one solution.
The equation has one solution.

The equation has infinitely many solutions.

Answer 1

Let's analyze the equation $x+2=x+4$.

To determine the truth of this equation, we can start by simplifying it. We can subtract $x$ from both sides:

$$x+2-x=x+4-x$$

This simplifies to:

$$2=4$$

This statement is false. Since we have reached a contradiction, it indicates that there are no values for $x$ that will satisfy the equation.

Therefore, the correct statement about the equation is:

The equation has no solution.