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Popular >

|x-4|<3

Solution

∣ x - 4 ∣ < 3

Solution

1 < x < 7

+1

Interval Notation

(1, 7)

Solution steps

∣ x - 4 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < x - 4 < 3

x - 4 > - 3 and x - 4 < 3

x > 1 and x < 7

Merge Overlapping Intervals

1 < x < 7

Popular Examples

simplify-2/((-1/2+1)^2)simplify

- \frac{2}{( - \frac{1}{2} + 1 ) ^{2}}

factor x^2-4x-77 factor

x^{2} - 4 x - 77

∣ x ∣ + 5 \leq 9

simplify (5/8)^{-1}simplify

(\frac{5}{8})^{- 1}

simplify 1/5+3/5 simplify

\frac{1}{5} + \frac{3}{5}

Frequently Asked Questions (FAQ)

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