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Popular >

|3x-1|>= 11

Solution

∣ 3 x - 1 ∣ \geq 11

Solution

x \leq - \frac{10}{3} or x \geq 4

+2

Solution steps

∣ 3 x - 1 ∣ \geq 11

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x - 1 \leq - 11 or 3 x - 1 \geq 11

3 x - 1 \leq - 11 or 3 x - 1 \geq 11

x \leq - \frac{10}{3} or x \geq 4

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Frequently Asked Questions (FAQ)

What is |3x-1|>= 11 ?
The solution to |3x-1|>= 11 is x<=-10/3 \lor x>= 4