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Popular >

|3x-4|<5

Solution

∣ 3 x - 4 ∣ < 5

Solution

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

+2

Interval Notation

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

Decimal Notation

- 0.33333 \dots < x < 3

Solution steps

∣ 3 x - 4 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 3 x - 4 < 5

3 x - 4 > - 5 and 3 x - 4 < 5

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

Merge Overlapping Intervals

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

Popular Examples

simplify-1+9 simplify

- 1 + 9

5 ∣ d + 8 ∣ - 7 \geq 13

simplify-sqrt(-64)simplify

- - 64

2 x - 5 = 9

simplify (10!)/(6!(10-6)!)simplify

\frac{10 !}{6 ! ( 10 - 6 ) !}

Frequently Asked Questions (FAQ)

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