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Popular >

|x+3|<7

Solution

∣ x + 3 ∣ < 7

Solution

- 10 < x < 4

+1

Interval Notation

(- 10, 4)

Solution steps

∣ x + 3 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < x + 3 < 7

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

x > - 10 and x < 4

Merge Overlapping Intervals

- 10 < x < 4

Popular Examples

6 x - 6 < 6 (x - 2)

simplify \sqrt[3]{-8/27}simplify

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7 (x - 8) - 8 (x - 7) = x + 7 - (x - 2)

simplify ((4x^5y)/(16xy^4))^3 simplify

(\frac{4 x ^{5} y}{16 x y ^{4}})^{3}

simplify-5/5 simplify

- \frac{5}{5}

Frequently Asked Questions (FAQ)

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