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Popular >

|3x+2|>= 1

Solution

∣ 3 x + 2 ∣ \geq 1

Solution

x \leq - 1 or x \geq - \frac{1}{3}

+2

Interval Notation

(- \infty, - 1] \cup [- \frac{1}{3}, \infty)

Decimal Notation

x \leq - 1 or x \geq - 0.33333 \dots

Solution steps

∣ 3 x + 2 ∣ \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x + 2 \leq - 1 or 3 x + 2 \geq 1

3 x + 2 \leq - 1 or 3 x + 2 \geq 1

x \leq - 1 or x \geq - \frac{1}{3}

Popular Examples

factor 3x^2-30x+75 factor

3 x^{2} - 30 x + 75

7 x + 4 < 18

factor 25x^2-40x+16 factor

25 x^{2} - 40 x + 16

factor sqrt(45)factor

45

factor 3x^2+3x-90 factor

3 x^{2} + 3 x - 90

Frequently Asked Questions (FAQ)

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