Enzo is flying to Austria on vacation. He wants to bring several pairs of shoes with him. He knows each shoe's individual weight (x = weight as an integer). Choose an equation, that Enzo can use later in another equation, to find how many pairs of shoes he can take on his trip. So, this equation must result in an even number. What equation is true? Choose the most appropriate option:	A) 2x + 1 = even	B) (2x + 1)(2x + 1) = even	C) (1/2)(4x + 2) = even	D) (1/2)(4x + 2)(2x + 1) = even	E) (2x)(2x + 1) = even
Divisible by 2 (Parity Mathematics) states: an even number is an integer of the form n = 2k, where k is an integer; an odd number is an integer of the form n = 2k + 1.   A and C: 2x + 1 = odd   And from Multiplication Rule:   even x even = even   even x odd = even   odd x even = even   odd x odd = odd   So, B and D: odd x odd = odd, but   (2x)(2x + 1) = even: even x odd = even   Answer: (2x)(2x + 1) = even
<result>E</result>
Enzo is flying to Austria on vacation. He wants to bring several pairs of shoes with him. He knows each shoe's individual weight (x = weight as an integer). Choose an equation, that Enzo can use later in another equation, to find how many pairs of shoes he can take on his trip. So, this equation must result in an even number. What equation is true?