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Popular >

|x-2|<3

Solution

∣ x - 2 ∣ < 3

Solution

- 1 < x < 5

+1

Interval Notation

(- 1, 5)

Solution steps

∣ x - 2 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < x - 2 < 3

x - 2 > - 3 and x - 2 < 3

x > - 1 and x < 5

Merge Overlapping Intervals

- 1 < x < 5

Popular Examples

simplify (\sqrt[3]{y})^2 simplify

simplify (2/4)^2 simplify

(\frac{2}{4})^{2}

∣ 3 - 4 x ∣ < 1

(x-16)/8 >= (x-8)/(12)+1/24

\frac{x - 16}{8} \geq \frac{x - 8}{12} + \frac{1}{24}

simplify 5/6*6 simplify

\frac{5}{6} \cdot 6

Frequently Asked Questions (FAQ)

What is |x-2|<3 ?
The solution to |x-2|<3 is -1<x<5