What is 4|x-2|+3|x|<6 ?

The solution to 4|x-2|+3|x|<6 is No Solution for x\in\mathbb{R}

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4|x-2|+3|x|<6

4 ∣ x - 2 ∣ + 3 ∣ x ∣ < 6

No Solution for x \in R

Solution steps

4 ∣ x - 2 ∣ + 3 ∣ x ∣ < 6

Find positive and negative intervals

x < 0, 0 \leq x < 2, x \geq 2

Solve the inequality for each interval

No Solution for x \in R

- 49 - 7 x^{3}

\frac{3}{4} = 2

27 u^{2} + 63 u + 30

(\frac{3}{2})^{- 2} (\frac{2}{3}) (\frac{3}{4})^{- 1}

\frac{n !}{3 ! ( n - 3 ) !}

What is 4|x-2|+3|x|<6 ?
The solution to 4|x-2|+3|x|<6 is No Solution for x\in\mathbb{R}