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Popular >

|x-5|+1<2

Solution

∣ x - 5 ∣ + 1 < 2

Solution

4 < x < 6

+1

Interval Notation

(4, 6)

Solution steps

∣ x - 5 ∣ + 1 < 2

Move

1

to the right side

∣ x - 5 ∣ < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < x - 5 < 1

x - 5 > - 1 and x - 5 < 1

x > 4 and x < 6

Merge Overlapping Intervals

4 < x < 6

Popular Examples

simplify (54z)^{2/3}simplify

(54 z)^{\frac{2}{3}}

simplify (a-3)/(15a)*5/(a-3)simplify

\frac{a - 3}{15 a} \cdot \frac{5}{a - 3}

simplify (3m^3-27m^2)/(2m^2-17m-9)-(6m)/(20m^2-5)simplify

\frac{3 m ^{3} - 27 m ^{2}}{2 m ^{2} - 17 m - 9} - \frac{6 m}{20 m ^{2} - 5}

simplify 25^{1.5}simplify

2 5^{1.5}

(x - 1) (x - 2) = 6

Frequently Asked Questions (FAQ)

What is |x-5|+1<2 ?
The solution to |x-5|+1<2 is 4<x<6