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Popular >

|1-4x|-11<-8

Solution

∣ 1 - 4 x ∣ - 11 < - 8

Solution

- \frac{1}{2} < x < 1

+2

Interval Notation

(- \frac{1}{2}, 1)

Decimal Notation

- 0.5 < x < 1

Solution steps

∣ 1 - 4 x ∣ - 11 < - 8

Move

11

to the right side

∣ 1 - 4 x ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 1 - 4 x < 3

1 - 4 x > - 3 and 1 - 4 x < 3

x < 1 and x > - \frac{1}{2}

Merge Overlapping Intervals

- \frac{1}{2} < x < 1

Popular Examples

3 (x + 8)^{2} = 3

simplify (-7p)^3 simplify

(- 7 p)^{3}

factor 8a^3-125b^3 factor

8 a^{3} - 125 b^{3}

factor 2sqrt(3)+4sqrt(2)factor

23 + 42

-12x^3+(x+2)*(2x-1)=(-2x^2+1)*(6x-1)+9

- 12 x^{3} + (x + 2) \cdot (2 x - 1) = (- 2 x^{2} + 1) \cdot (6 x - 1) + 9

Frequently Asked Questions (FAQ)

What is |1-4x|-11<-8 ?
The solution to |1-4x|-11<-8 is -1/2 <x<1