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Popular >

|5x-4|<1

Solution

∣ 5 x - 4 ∣ < 1

Solution

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

+2

Interval Notation

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

Decimal Notation

0.6 < x < 1

Solution steps

∣ 5 x - 4 ∣ < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < 5 x - 4 < 1

5 x - 4 > - 1 and 5 x - 4 < 1

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

Merge Overlapping Intervals

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

Popular Examples

- 4 n + 11 > - 9

simplify (2^{-0.01}-1)/(-0.01)simplify

\frac{2 ^{- 0.01} - 1}{- 0.01}

12 x^{2} + 20 x + 3 = 0

simplify 5/6*3 simplify

\frac{5}{6} \cdot 3

simplify (36x^{-2}y^2)/(15z^{-3)}simplify

\frac{36 x ^{- 2} y ^{2}}{15 z ^{- 3}}

Frequently Asked Questions (FAQ)

What is |5x-4|<1 ?
The solution to |5x-4|<1 is 3/5 <x<1