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Popular >

|x-3|>= 1

Solution

∣ x - 3 ∣ \geq 1

Solution

x \leq 2 or x \geq 4

+1

Interval Notation

(- \infty, 2] \cup [4, \infty)

Solution steps

∣ x - 3 ∣ \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 3 \leq - 1 or x - 3 \geq 1

x - 3 \leq - 1 or x - 3 \geq 1

x \leq 2 or x \geq 4

Popular Examples

1 < \frac{n}{- 2} - 1

18 x - 35 = 12 x + 25

factor x^4+14x^2+49 factor

x^{4} + 14 x^{2} + 49

factor 5y^3-4y^2-35y+28 factor

5 y^{3} - 4 y^{2} - 35 y + 28

simplify (1/(x+3))^2 simplify

(\frac{1}{x + 3})^{2}

Frequently Asked Questions (FAQ)

What is |x-3|>= 1 ?
The solution to |x-3|>= 1 is x<= 2\lor x>= 4