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Popular >

|x+7|<3

Solution

∣ x + 7 ∣ < 3

Solution

- 10 < x < - 4

+1

Interval Notation

(- 10, - 4)

Solution steps

∣ x + 7 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < x + 7 < 3

x + 7 > - 3 and x + 7 < 3

x > - 10 and x < - 4

Merge Overlapping Intervals

- 10 < x < - 4

Popular Examples

2-(x+3)-(6-x+2)=2x-1

2 - (x + 3) - (6 - x + 2) = 2 x - 1

0.5 d - 3 d + 5 = 0

x + 7 > 5

simplify ((n^{2/3})/(m^{4/3)})^{1/2}simplify

(\frac{n ^{\frac{2}{3}}}{m ^{\frac{4}{3}}})^{\frac{1}{2}}

simplify 5/(16x^3y^2)+5/(6x^2y)simplify

\frac{5}{16 x ^{3} y ^{2}} + \frac{5}{6 x ^{2} y}

Frequently Asked Questions (FAQ)

What is |x+7|<3 ?
The solution to |x+7|<3 is -10<x<-4