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Popular >

|x-4|<9

Solution

∣ x - 4 ∣ < 9

Solution

- 5 < x < 13

+1

Interval Notation

(- 5, 13)

Solution steps

∣ x - 4 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < x - 4 < 9

x - 4 > - 9 and x - 4 < 9

x > - 5 and x < 13

Merge Overlapping Intervals

- 5 < x < 13

Popular Examples

simplify sqrt(49^3)simplify

4 9^{3}

(5x-19)/(-3)=-7

\frac{5 x - 19}{- 3} = - 7

factor 8t^2+8t-72 factor

8 t^{2} + 8 t - 72

p^{2} + 8 p + 16 = 0

solvefor z,-p(d+z)=2z+59 solve for

z, - p (d + z) = 2 z + 59

Frequently Asked Questions (FAQ)

What is |x-4|<9 ?
The solution to |x-4|<9 is -5<x<13