In the x-y plane, point (x, y) is a lattice point if both x and y are integers. A square has a center at (0, 0) and side = 4. Some points, such as the center (0, 0), are inside the square, but a point such as (0, 2) is on the square but not in the square. How many lattice points are in the square?
Select: A) 10 B) 9 C) 8 D) 5 E) 12

Rationale: the lattice points that are in the square , that lie on the x and y axes , are ( 0 , 0 ) , ( 0 , 1 ) , ( 1 , 0 ) , ( 0 , - 1 ) , and ( - 1 , 0 ) . the lattice points in the square and not on the x and y axes are ( 1 , 1 ) , ( - 1 , 1 ) , ( 1 , - 1 ) , and ( - 1 , - 1 ) . there are a total of 9 lattice points in the square . answer : b
Answer: B