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Popular >

|x-7|<6

Solution

∣ x - 7 ∣ < 6

Solution

1 < x < 13

+1

Interval Notation

(1, 13)

Solution steps

∣ x - 7 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < x - 7 < 6

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

x > 1 and x < 13

Merge Overlapping Intervals

1 < x < 13

Popular Examples

a + 17 < 27

simplify 1^{2/5}simplify

1^{\frac{2}{5}}

200-120x+12^2=0

200 - 120 x + 1 2^{2} = 0

factor (2a-3b)0.4b-3a(a-2b)factor

(2 a - 3 b) 0.4 b - 3 a (a - 2 b)

factor 28x-35x^2 factor

28 x - 35 x^{2}

Frequently Asked Questions (FAQ)

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