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Popular >

|x+7|>3

Solution

∣ x + 7 ∣ > 3

Solution

x < - 10 or x > - 4

+1

Interval Notation

(- \infty, - 10) \cup (- 4, \infty)

Solution steps

∣ x + 7 ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 7 < - 3 or x + 7 > 3

x + 7 < - 3 or x + 7 > 3

x < - 10 or x > - 4

Popular Examples

2/3 (x-6)= 3/4 (x+16)

\frac{2}{3} (x - 6) = \frac{3}{4} (x + 16)

factor 5x^4-30x^2-135 factor

5 x^{4} - 30 x^{2} - 135

16 - 2 r = - 3 r + 6 r + 1

factor 2x^2-x-1 factor

2 x^{2} - x - 1

x-1<= 2\land x+2>= 4

x - 1 \leq 2 and x + 2 \geq 4

Frequently Asked Questions (FAQ)

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