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Popular >

4|x-3|>8

Solution

4 ∣ x - 3 ∣ > 8

Solution

x < 1 or x > 5

+1

Interval Notation

(- \infty, 1) \cup (5, \infty)

Solution steps

4 ∣ x - 3 ∣ > 8

Divide both sides by

4

∣ x - 3 ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 3 < - 2 or x - 3 > 2

x - 3 < - 2 or x - 3 > 2

x < 1 or x > 5

Popular Examples

x^{2} - 6 x - 16 > 0

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- (\frac{1}{2})^{0}

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16 y^{2} - x^{6}

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25 + 45

simplify \sqrt[3]{0.125}simplify

Frequently Asked Questions (FAQ)

What is 4|x-3|>8 ?
The solution to 4|x-3|>8 is x<1\lor x>5