Question

How many solutions does 2x = 4 have? Explain.

a) 0 solutions, because 4 is not even.
b) 1 solution, x = 2.
c) Infinite solutions, as x can be any real number.
d) 2 solutions, x = 2 and x = 4.

Answer 1

The equation 2x = 4 has exactly one solution, which is x = 2.

Step-by-step explanation:

The question is asking to determine how many solutions the equation 2x = 4 has. To find the solution, we simplify and solve the equation. Dividing both sides of the equation by 2 yields x = 2. This is the only solution to the equation since when x is replaced with 2 in the original equation, both sides are equal (2*2 = 4), confirming that it is the correct solution. Therefore, the answer is one solution, which is x = 2.