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Popular >

|x-1|>= 4

Solution

∣ x - 1 ∣ \geq 4

Solution

x \leq - 3 or x \geq 5

+1

Interval Notation

(- \infty, - 3] \cup [5, \infty)

Solution steps

∣ x - 1 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 1 \leq - 4 or x - 1 \geq 4

x - 1 \leq - 4 or x - 1 \geq 4

x \leq - 3 or x \geq 5

Popular Examples

simplify-sqrt(7)-2sqrt(63)simplify

- 7 - 263

x^{2} - 10 x - 6 = 0

simplify-9-2 simplify

- 9 - 2

factor 25n^3-350n^2+1875n-3750 factor

25 n^{3} - 350 n^{2} + 1875 n - 3750

f = (- 1)^{2} + 5

Frequently Asked Questions (FAQ)

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