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Popular >

3|x+3|+2>15

Solution

3 ∣ x + 3 ∣ + 2 > 15

Solution

x < - \frac{22}{3} or x > \frac{4}{3}

+2

Interval Notation

(- \infty, - \frac{22}{3}) \cup (\frac{4}{3}, \infty)

Decimal Notation

x < - 7.33333 \dots or x > 1.33333 \dots

Solution steps

3 ∣ x + 3 ∣ + 2 > 15

Move

2

to the right side

3 ∣ x + 3 ∣ > 13

Divide both sides by

3

∣ x + 3 ∣ > \frac{13}{3}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 3 < - \frac{13}{3} or x + 3 > \frac{13}{3}

x + 3 < - \frac{13}{3} or x + 3 > \frac{13}{3}

x < - \frac{22}{3} or x > \frac{4}{3}

Popular Examples

5 x > 10

x^{2} + 5 x - 36 = 0

- x^{2} + 8 x - 4 = 0

-3x^2-48x+543=0

- 3 x^{2} - 48 x + 543 = 0

longmult 0.3*0.3 long multiplication

0.3 \cdot 0.3

Frequently Asked Questions (FAQ)

What is 3|x+3|+2>15 ?
The solution to 3|x+3|+2>15 is x<-22/3 \lor x> 4/3