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Popular >

|x-4|>= 3

Solution

∣ x - 4 ∣ \geq 3

Solution

x \leq 1 or x \geq 7

+1

Interval Notation

(- \infty, 1] \cup [7, \infty)

Solution steps

∣ x - 4 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 4 \leq - 3 or x - 4 \geq 3

x - 4 \leq - 3 or x - 4 \geq 3

x \leq 1 or x \geq 7

Popular Examples

2 x + 2 x + 2 = 4 x + 2

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125 + 45

1 - ∣ 2 - x ∣ = - 6

simplify (125^{-3}*25)/(5^{-8)}simplify

\frac{12 5 ^{- 3} \cdot 25}{5 ^{- 8}}

simplify sqrt(9409)simplify

9409

Frequently Asked Questions (FAQ)

What is |x-4|>= 3 ?
The solution to |x-4|>= 3 is x<= 1\lor x>= 7