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Popular >

8-|-6x-1|<0.5

Solution

8 - ∣ - 6 x - 1 ∣ < 0.5

Solution

x < - 1.41666 \dots or x > 1.08333 \dots

+1

Interval Notation

(- \infty, - 1.41666 \dots) \cup (1.08333 \dots, \infty)

Solution steps

8 - ∣ - 6 x - 1 ∣ < 0.5

Move

8

to the right side

- ∣ - 6 x - 1 ∣ < - 7.5

Multiply both sides by

- 1

∣ - 6 x - 1 ∣ > 7.5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

- 6 x - 1 < - 7.5 or - 6 x - 1 > 7.5

- 6 x - 1 < - 7.5 or - 6 x - 1 > 7.5

x < - 1.41666 \dots or x > 1.08333 \dots

Popular Examples

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m^{2} + m^{2}

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\frac{1}{\frac{a}{b}}

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n^{2} - 13 n + 40

9 + \frac{x}{5} - 2 = 4.8

(x - 5) (x + 3) \leq 0

Frequently Asked Questions (FAQ)

What is 8-|-6x-1|<0.5 ?
The solution to 8-|-6x-1|<0.5 is x<-1.41666…\lor x>1.08333…