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Popular >

|x+3|>5

Solution

∣ x + 3 ∣ > 5

Solution

x < - 8 or x > 2

+1

Interval Notation

(- \infty, - 8) \cup (2, \infty)

Solution steps

∣ x + 3 ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 3 < - 5 or x + 3 > 5

x + 3 < - 5 or x + 3 > 5

x < - 8 or x > 2

Popular Examples

simplify (sqrt(294k^{30)})/(sqrt(3k^5))simplify

\frac{294 k ^{30}}{3 k ^{5}}

∣ x ∣ < 8

simplify 1/18+1/9 simplify

\frac{1}{18} + \frac{1}{9}

5 x^{2} + 7 = 16 x + 4

simplify sqrt(32)+sqrt(16)+sqrt(8)simplify

32 + 16 + 8

Frequently Asked Questions (FAQ)

What is |x+3|>5 ?
The solution to |x+3|>5 is x<-8\lor x>2