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Popular >

|x+4|>= 8

Solution

∣ x + 4 ∣ \geq 8

Solution

x \leq - 12 or x \geq 4

+1

Interval Notation

(- \infty, - 12] \cup [4, \infty)

Solution steps

∣ x + 4 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 4 \leq - 8 or x + 4 \geq 8

x + 4 \leq - 8 or x + 4 \geq 8

x \leq - 12 or x \geq 4

Popular Examples

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\frac{3}{4} x + 2 \leq \frac{1}{4} x + 5

2 (x - 6) = - 26

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(2 x^{3} y^{2} z^{2})^{3} (x^{2} z)^{4}

factor 9a^2+24ab+16b^2 factor

9 a^{2} + 24 ab + 16 b^{2}

z^{2} - 8 = 0

Frequently Asked Questions (FAQ)

What is |x+4|>= 8 ?
The solution to |x+4|>= 8 is x<=-12\lor x>= 4