For some integer p, every even integer is of the formDeselect Answer p 2p + 1 2p p + 1

Let's analyze the given statement: "For some integer p, every even integer is of the form p + 2p."

Step 1: Understand the statement The statement is saying that there exists an integer p such that every even integer can be expressed in the form p + 2p.

Step 2: Define even integers Even integers are numbers that are divisible by 2 without leaving a remainder. Examples of even integers are 2, 4, 6, 8, etc.

Step 3: Express even integers in the given form To express an even integer in the form p + 2p, we can factor out p from the expression. This gives us p(1 + 2), which simplifies to p(3).

Step 4: Conclusion From the analysis, we can conclude that every even integer can indeed be expressed in the form p + 2p, where p is an integer.