| 1/7-x|<3 — step-by-step solution

Let's solve in

ℝ

| \frac{1}{7} - x | < 3

| A | < B

is equivalent to

- B < A < B

-3 < \frac{1}{7} - x < 3

We add

- \frac{1}{7}

to all three parts of the inequality

- \frac{22}{7} < - x < \frac{20}{7}

We divide all three parts by

-1

, which is negative: both inequality signs reverse

- \frac{20}{7} < x < \frac{22}{7}

▶Solution found:

x \in (- \frac{20}{7}, \frac{22}{7})

The numeric value of:

x \in (- \frac{20}{7}, \frac{22}{7})

equals:

▷

x \in (\approx -2.8571, \approx 3.1429)