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Popular >

|2-3x|+5<10

Solution

∣ 2 - 3 x ∣ + 5 < 10

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 ∣ + 5 < 10

Move

5

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

5 x^{2} + 30 x = 0

- 5 = \frac{x}{3} - 8

3 + 3 x - 5 = 10

2 k + 3 (k - 1) = 17

-(x+1)(x+2)(x+3)<0

- (x + 1) (x + 2) (x + 3) < 0

Frequently Asked Questions (FAQ)

What is |2-3x|+5<10 ?
The solution to |2-3x|+5<10 is -1<x< 7/3