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Popular >

|15x-3|+1>14

Solution

∣ 15 x - 3 ∣ + 1 > 14

Solution

x < - \frac{2}{3} or x > \frac{16}{15}

+2

Interval Notation

(- \infty, - \frac{2}{3}) \cup (\frac{16}{15}, \infty)

Decimal Notation

x < - 0.66666 \dots or x > 1.06666 \dots

Solution steps

∣ 15 x - 3 ∣ + 1 > 14

Move

1

to the right side

∣ 15 x - 3 ∣ > 13

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

15 x - 3 < - 13 or 15 x - 3 > 13

15 x - 3 < - 13 or 15 x - 3 > 13

x < - \frac{2}{3} or x > \frac{16}{15}

Popular Examples

∣ x - 4 ∣ \leq 3

x^{2} - 4 x - 13 = 0

factor 25x^2+30x+10 factor

25 x^{2} + 30 x + 10

factor 2x^2+6x factor

2 x^{2} + 6 x

7 z^{2} - 8 z - 21 = 0

Frequently Asked Questions (FAQ)

What is |15x-3|+1>14 ?
The solution to |15x-3|+1>14 is x<-2/3 \lor x> 16/15