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Popular >

4|x-1|+2>6

Solution

4 ∣ x - 1 ∣ + 2 > 6

Solution

x < 0 or x > 2

+1

Solution steps

4 ∣ x - 1 ∣ + 2 > 6

Move

2

to the right side

4 ∣ x - 1 ∣ > 4

Divide both sides by

4

∣ x - 1 ∣ > 1

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 1 < - 1 or x - 1 > 1

x - 1 < - 1 or x - 1 > 1

x < 0 or x > 2

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\frac{1}{81}

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lo g_{3} (243)

∣ x - 7 ∣ = 3

Frequently Asked Questions (FAQ)

What is 4|x-1|+2>6 ?
The solution to 4|x-1|+2>6 is x<0\lor x>2