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Popular >

|-1-6x|<7

Solution

∣ - 1 - 6 x ∣ < 7

Solution

- \frac{4}{3} < x < 1

+2

Interval Notation

(- \frac{4}{3}, 1)

Decimal Notation

- 1.33333 \dots < x < 1

Solution steps

∣ - 1 - 6 x ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < - 1 - 6 x < 7

- 1 - 6 x > - 7 and - 1 - 6 x < 7

x < 1 and x > - \frac{4}{3}

Merge Overlapping Intervals

- \frac{4}{3} < x < 1

Popular Examples

simplify 4sqrt(6)*sqrt(21)simplify

46 \cdot 21

simplify sqrt(3)*sqrt(16)simplify

3 \cdot 16

simplify 5/2+5/4 simplify

\frac{5}{2} + \frac{5}{4}

- 5 (3 + 6 x) < 5 x - 15

2 x^{2} - 96 x = 0

Frequently Asked Questions (FAQ)

What is |-1-6x|<7 ?
The solution to |-1-6x|<7 is -4/3 <x<1