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Popular >

|2-3x|+3<8

Solution

∣ 2 - 3 x ∣ + 3 < 8

Solution

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

+2

Interval Notation

(- 1, \frac{7}{3})

Decimal Notation

- 1 < x < 2.33333 \dots

Solution steps

∣ 2 - 3 x ∣ + 3 < 8

Move

3

to the right side

∣ 2 - 3 x ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 2 - 3 x < 5

2 - 3 x > - 5 and 2 - 3 x < 5

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

Merge Overlapping Intervals

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

Popular Examples

7 x - 35 < 2 (x - 5)

x - 2 = - 10

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

\frac{1}{3 x} > \frac{2}{x - 1}

32 = (x) 2^{3}

- 2 m + 8 + m + 1 = 0

Frequently Asked Questions (FAQ)

What is |2-3x|+3<8 ?
The solution to |2-3x|+3<8 is -1<x< 7/3