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Popular >

5-|9x-2|<3

Solution

5 - ∣ 9 x - 2 ∣ < 3

Solution

x < 0 or x > \frac{4}{9}

+2

Interval Notation

(- \infty, 0) \cup (\frac{4}{9}, \infty)

Decimal Notation

x < 0 or x > 0.44444 \dots

Solution steps

5 - ∣ 9 x - 2 ∣ < 3

Move

5

to the right side

- ∣ 9 x - 2 ∣ < - 2

Multiply both sides by

- 1

∣ 9 x - 2 ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

9 x - 2 < - 2 or 9 x - 2 > 2

9 x - 2 < - 2 or 9 x - 2 > 2

x < 0 or x > \frac{4}{9}

Popular Examples

factor 3x^2-12x+9 factor

3 x^{2} - 12 x + 9

factor 5x^3-x^2+5x-1 factor

5 x^{3} - x^{2} + 5 x - 1

12 x^{2} + 48 x = 0

6 y^{2} - y - 1 = 0

\frac{x}{6} + 4 = 12

Frequently Asked Questions (FAQ)

What is 5-|9x-2|<3 ?
The solution to 5-|9x-2|<3 is x<0\lor x> 4/9