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Popular >

|x+4|<7

Solution

∣ x + 4 ∣ < 7

Solution

- 11 < x < 3

+1

Interval Notation

(- 11, 3)

Solution steps

∣ x + 4 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < x + 4 < 7

x + 4 > - 7 and x + 4 < 7

x > - 11 and x < 3

Merge Overlapping Intervals

- 11 < x < 3

Popular Examples

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1 - (\frac{5}{6})^{2}

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(4 j^{2} + 6) + (2 j^{2} - 3)

Frequently Asked Questions (FAQ)

What is |x+4|<7 ?
The solution to |x+4|<7 is -11<x<3