### Home > PC > Chapter 2 > Lesson 2.2.2 > Problem 2-58

2-58.

We can use *x*_{0}, *x*_{1}, *x*_{2}, *x*_{3}, *x*_{4}, and *x*_{5} to represent the values of *x* when the interval is broken into 5 equal pieces. If the interval 1 ≤ *x* ≤ 4 is divided into five equal pieces, *x*_{0} = 1 and *x*_{5} = 4. Find *x*_{1}, *x*_{2}, *x* _{3}, and, *x*_{4}. Homework Help ✎

Calculate the length of the interval: 4 − 1 = 3

Divide the length of the interval by the number of pieces: 3 ÷ 5 = 0.6 (length of each piece)

Start at 1 and add 0.6 to each interval.*x*_{0} = 1*x*_{1} = 1 + 0.6 = 1.6*x*_{2} = 1.6 + 0.6 = 2.2*x*_{3} = 2.2 + 0.6 = 2.8*x*_{4} = 2.8 + 0.6 = 3.4