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Popular >

|x^2+6x-1|>6

Solution

x^{2} + 6 x - 1 > 6

Solution

x < - 7 or - 5 < x < - 1 or x > 1

+1

Interval Notation

(- \infty, - 7) \cup (- 5, - 1) \cup (1, \infty)

Solution steps

x^{2} + 6 x - 1 > 6

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x^{2} + 6 x - 1 < - 6 or x^{2} + 6 x - 1 > 6

x^{2} + 6 x - 1 < - 6 or x^{2} + 6 x - 1 > 6

- 5 < x < - 1 or (x < - 7 or x > 1)

Merge Overlapping Intervals

x < - 7 or - 5 < x < - 1 or x > 1

Popular Examples

factor 125-m^3 factor

125 - m^{3}

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1 + a^{7}

simplify 180*pi/(180)simplify

180 \cdot \frac{π}{180}

simplify (8-10i)-(-16+2i)simplify

(8 - 10 i) - (- 16 + 2 i)

factor 2m^4+6-am^4-3a factor

2 m^{4} + 6 - a m^{4} - 3 a

Frequently Asked Questions (FAQ)

What is |x^2+6x-1|>6 ?
The solution to |x^2+6x-1|>6 is x<-7\lor-5<x<-1\lor x>1