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Popular >

-1<= 1/4 x+1<0

Solution

- 1 \leq \frac{1}{4} x + 1 < 0

Solution

- 8 \leq x < - 4

+1

Interval Notation

[- 8, - 4)

Solution steps

- 1 \leq \frac{1}{4} x + 1 < 0

If

a \leq u < b

then

a \leq u and u < b

- 1 \leq \frac{1}{4} x + 1 and \frac{1}{4} x + 1 < 0

- 1 \leq \frac{1}{4} x + 1 : x \geq - 8

\frac{1}{4} x + 1 < 0 : x < - 4

Combine the intervals

x \geq - 8 and x < - 4

Merge Overlapping Intervals

- 8 \leq x < - 4

Popular Examples

factor 4a^2-12ab+9b^2 factor

4 a^{2} - 12 ab + 9 b^{2}

∣ x - 2 ∣ > 10 + 3 x

4 x^{2} - 8 x + 5 = 0

factor (x+3)(x+2)(x+5)+(x+2)(x+5)+(x+5)factor

(x + 3) (x + 2) (x + 5) + (x + 2) (x + 5) + (x + 5)

- 4 < 6 - 2 x \leq 8

Frequently Asked Questions (FAQ)

What is -1<= 1/4 x+1<0 ?
The solution to -1<= 1/4 x+1<0 is -8<= x<-4