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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

Interval Notation

(- \infty, - \frac{10}{3}] \cup [4, \infty)

Decimal Notation

x \leq - 3.33333 \dots or x \geq 4

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

Popular Examples

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\frac{1}{5 n} - \frac{3}{4} + \frac{7}{10 n}

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\frac{3}{4} + \frac{3}{10}

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x^{3} y^{2} + y^{3}

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\frac{1}{2} + \frac{2}{3}

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21

Frequently Asked Questions (FAQ)

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