Logan's solution and reasoning for solving an equation are shown below:

given: three halves times x minus ten equals fifty

step 1: three halves times x minus ten equals fifty reason 1: given
step 2: three halves times x minus ten plus ten equals fifty plus ten reason 2: addition property of equality
step 3: three halves times x equals sixty reason 3: simplify
step 4: three halves times x times two thirds equals sixty times two thirds reason 4: division property of equality
step 5: x = 20 reason 5: simplify

choose which reason is incorrect.
reason 2
reason 3
reason 4
reason 5

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0