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Popular >

|3x+9|<5

Solution

∣ 3 x + 9 ∣ < 5

Solution

- \frac{14}{3} < x < - \frac{4}{3}

+2

Interval Notation

(- \frac{14}{3}, - \frac{4}{3})

Decimal Notation

- 4.66666 \dots < x < - 1.33333 \dots

Solution steps

∣ 3 x + 9 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 3 x + 9 < 5

3 x + 9 > - 5 and 3 x + 9 < 5

x > - \frac{14}{3} and x < - \frac{4}{3}

Merge Overlapping Intervals

- \frac{14}{3} < x < - \frac{4}{3}

Popular Examples

10 z - 2 \geq 4 z - 7

factor 150k^2-216 factor

150 k^{2} - 216

(x^2+4x-21)/(x+3)>= 0

\frac{x ^{2} + 4 x - 21}{x + 3} \geq 0

simplify (8x^{24}y^{-12})^{5/3}simplify

(8 x^{24} y^{- 12})^{\frac{5}{3}}

x^{2} - 6 x = 9

Frequently Asked Questions (FAQ)

What is |3x+9|<5 ?
The solution to |3x+9|<5 is -14/3 <x<-4/3