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Popular >

|2x+1/3 |+1<4

Solution

2 x + \frac{1}{3} + 1 < 4

Solution

- \frac{5}{3} < x < \frac{4}{3}

+2

Interval Notation

(- \frac{5}{3}, \frac{4}{3})

Decimal Notation

- 1.66666 \dots < x < 1.33333 \dots

Solution steps

2 x + \frac{1}{3} + 1 < 4

Move

1

to the right side

2 x + \frac{1}{3} < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 2 x + \frac{1}{3} < 3

2 x + \frac{1}{3} > - 3 and 2 x + \frac{1}{3} < 3

x > - \frac{5}{3} and x < \frac{4}{3}

Merge Overlapping Intervals

- \frac{5}{3} < x < \frac{4}{3}

Popular Examples

x^{2} + 16 x - 22 = 0

3x+4> 1/3 (x-2)

3 x + 4 > \frac{1}{3} (x - 2)

simplify (-3-6i)/(8+8i)simplify

\frac{- 3 - 6 i}{8 + 8 i}

factor 5x^2+16x+3 factor

5 x^{2} + 16 x + 3

simplify sqrt(244)simplify

244

Frequently Asked Questions (FAQ)

What is |2x+1/3 |+1<4 ?
The solution to |2x+1/3 |+1<4 is -5/3 <x< 4/3