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Popular >

|x+1|<2

Solution

∣ x + 1 ∣ < 2

Solution

- 3 < x < 1

+1

Interval Notation

(- 3, 1)

Solution steps

∣ x + 1 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < x + 1 < 2

x + 1 > - 2 and x + 1 < 2

x > - 3 and x < 1

Merge Overlapping Intervals

- 3 < x < 1

Popular Examples

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a^{5} + b^{5}

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\frac{0 - 2}{2}

f(sqrt(2))=(3(sqrt(2)))/((sqrt(2))^2+1)

f (2) = \frac{3 ( 2 )}{( 2 ) ^{2} + 1}

simplify-4-(-2)simplify

- 4 - (- 2)

simplify ((a-b))/(b-a)simplify

\frac{( a - b )}{b - a}

Frequently Asked Questions (FAQ)

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