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Popular >

1+|1+b|<4

Solution

1 + ∣ 1 + b ∣ < 4

Solution

- 4 < b < 2

+1

Interval Notation

(- 4, 2)

Solution steps

1 + ∣ 1 + b ∣ < 4

Move

1

to the right side

∣ 1 + b ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 1 + b < 3

1 + b > - 3 and 1 + b < 3

b > - 4 and b < 2

Merge Overlapping Intervals

- 4 < b < 2

Popular Examples

5 x - 7 > 8

simplify (3^3)/5 simplify

\frac{3 ^{3}}{5}

200x-x^2=5x+8750

200 x - x^{2} = 5 x + 8750

factor x^2+6xy+5y^2 factor

x^{2} + 6 x y + 5 y^{2}

simplify 5/(sqrt(5)(\sqrt{5)+5)^2}simplify

\frac{5}{5 ( 5 + 5 ) ^{2}}

Frequently Asked Questions (FAQ)

What is 1+|1+b|<4 ?
The solution to 1+|1+b|<4 is -4<b<2