|5x-4|<1 — step-by-step solution

Let's solve in

ℝ

| 5 x - 4 | < 1

| A | < B

is equivalent to

- B < A < B

-1 < 5 x - 4 < 1

We add

4

to all three parts of the inequality

3 < 5 x < 5

We divide all three parts by

5

, which is positive

\frac{3}{5} < x < 1

▶Solution obtained:

x \in (\frac{3}{5}, 1)

The numeric value of:

x \in (\frac{3}{5}, 1)

is:

▷

x \in (0.6, 1)