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Popular >

|x-6|<7

Solution

∣ x - 6 ∣ < 7

Solution

- 1 < x < 13

+1

Interval Notation

(- 1, 13)

Solution steps

∣ x - 6 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < x - 6 < 7

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

x > - 1 and x < 13

Merge Overlapping Intervals

- 1 < x < 13

Popular Examples

simplify (-5)(-1/3)simplify

(- 5) (- \frac{1}{3})

1/(2x-2)<= 3/(2x+2)

\frac{1}{2 x - 2} \leq \frac{3}{2 x + 2}

factor 36x^2-16 factor

36 x^{2} - 16

simplify sqrt(5/64)simplify

\frac{5}{64}

4 \leq ∣ x + 2 ∣

Frequently Asked Questions (FAQ)

What is |x-6|<7 ?
The solution to |x-6|<7 is -1<x<13