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Popular >

|3x-4|>= 2

Solution

∣ 3 x - 4 ∣ \geq 2

Solution

x \leq \frac{2}{3} or x \geq 2

+2

Interval Notation

(- \infty, \frac{2}{3}] \cup [2, \infty)

Decimal Notation

x \leq 0.66666 \dots or x \geq 2

Solution steps

∣ 3 x - 4 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x - 4 \leq - 2 or 3 x - 4 \geq 2

3 x - 4 \leq - 2 or 3 x - 4 \geq 2

x \leq \frac{2}{3} or x \geq 2

Popular Examples

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6 (2 m - 3) - 3 m = 2 m - 18 + m

(x-2)^2<(x-4)(x+4)

(x - 2)^{2} < (x - 4) (x + 4)

3 x^{2} = 27

simplify sqrt(5)sqrt(x)(2sqrt(2)x-2sqrt(x))simplify

5 x (22 x - 2 x)

simplify (sqrt(45))/(sqrt(15))simplify

\frac{45}{15}

Frequently Asked Questions (FAQ)

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