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Popular >

|x+1|<4

Solution

∣ x + 1 ∣ < 4

Solution

- 5 < x < 3

+1

Interval Notation

(- 5, 3)

Solution steps

∣ x + 1 ∣ < 4

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 4 < x + 1 < 4

x + 1 > - 4 and x + 1 < 4

x > - 5 and x < 3

Merge Overlapping Intervals

- 5 < x < 3

Popular Examples

simplify (3^{n+1}-1+2*3^{n+1})/2 simplify

\frac{3 ^{n + 1} - 1 + 2 \cdot 3 ^{n + 1}}{2}

2(a-8)+7=5(a+2)-3a-19

2 (a - 8) + 7 = 5 (a + 2) - 3 a - 19

simplify (2pi)/3*2 simplify

\frac{2 π}{3} \cdot 2

4 x + 2 (x + 6) = 36

x - 4 = \frac{1}{2} x + 3

Frequently Asked Questions (FAQ)

What is |x+1|<4 ?
The solution to |x+1|<4 is -5<x<3