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Popular >

|3x-2|>= 5

Solution

∣ 3 x - 2 ∣ \geq 5

Solution

x \leq - 1 or x \geq \frac{7}{3}

+2

Interval Notation

(- \infty, - 1] \cup [\frac{7}{3}, \infty)

Decimal Notation

x \leq - 1 or x \geq 2.33333 \dots

Solution steps

∣ 3 x - 2 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x - 2 \leq - 5 or 3 x - 2 \geq 5

3 x - 2 \leq - 5 or 3 x - 2 \geq 5

x \leq - 1 or x \geq \frac{7}{3}

Popular Examples

22 x - 6 + 70 = 148

x^{2} = 2 x + 3

x+1/7+2x-3/3 >= 3+x-1/5

x + \frac{1}{7} + 2 x - \frac{3}{3} \geq 3 + x - \frac{1}{5}

simplify ((4s^5t^{-7})/(-2s^{-2)t^4})^3 simplify

(\frac{4 s ^{5} t ^{- 7}}{- 2 s ^{- 2} t ^{4}})^{3}

2 (2 x + 9) = 50

Frequently Asked Questions (FAQ)

What is |3x-2|>= 5 ?
The solution to |3x-2|>= 5 is x<=-1\lor x>= 7/3