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Popular >

|x-3|<6

Solution

∣ x - 3 ∣ < 6

Solution

- 3 < x < 9

+1

Interval Notation

(- 3, 9)

Solution steps

∣ x - 3 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < x - 3 < 6

x - 3 > - 6 and x - 3 < 6

x > - 3 and x < 9

Merge Overlapping Intervals

- 3 < x < 9

Popular Examples

simplify 1/(1/6+1/12)simplify

\frac{1}{\frac{1}{6} + \frac{1}{12}}

simplify (4+i)/(-5-2i)simplify

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

factor-4-4i factor

- 4 - 4 i

sqrt(x^2+5x+2)>-1

x^{2} + 5 x + 2 > - 1

25 = 1 x - 0.3 x

Frequently Asked Questions (FAQ)

What is |x-3|<6 ?
The solution to |x-3|<6 is -3<x<9