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Popular >

|1-4x|-11<-2

Solution

∣ 1 - 4 x ∣ - 11 < - 2

Solution

- 2 < x < \frac{5}{2}

+2

Interval Notation

(- 2, \frac{5}{2})

Decimal Notation

- 2 < x < 2.5

Solution steps

∣ 1 - 4 x ∣ - 11 < - 2

Move

11

to the right side

∣ 1 - 4 x ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < 1 - 4 x < 9

1 - 4 x > - 9 and 1 - 4 x < 9

x < \frac{5}{2} and x > - 2

Merge Overlapping Intervals

- 2 < x < \frac{5}{2}

Popular Examples

\frac{3}{4} y \geq - \frac{5}{8}

8 x^{2} + 5 x + 6 = 0

3-4x(25-2x)=8x^2+x-300

3 - 4 x (25 - 2 x) = 8 x^{2} + x - 300

7>= |(x+3)/2 |>1

7 \geq \frac{x + 3}{2} > 1

factor 6y^2+17y+5 factor

6 y^{2} + 17 y + 5

Frequently Asked Questions (FAQ)

What is |1-4x|-11<-2 ?
The solution to |1-4x|-11<-2 is -2<x< 5/2