Let x, a, δ ∈ R with δ > 0. Show that the following two statements are equivalent. (a) |x − a| < δ
(b) a − δ < x < a + δ
Hint: Distinguish between the cases x − a ≥ 0 and x − a < 0.

The daily production of a company is modeled by the function p = -w^2 + 75w - 1200. the daily production, p, is dependent on the number of workers (w) present. if the break-even point is when p=0, what are the least and greatest number of workers the company must have present each day in order to break even? 50 points! will give brainliest!