What is |x^2-3x+2|+2x-1<0 ?

The solution to |x^2-3x+2|+2x-1<0 is No Solution for x\in\mathbb{R}

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|x^2-3x+2|+2x-1<0

x^{2} - 3 x + 2 + 2 x - 1 < 0

No Solution for x \in R

Solution steps

x^{2} - 3 x + 2 + 2 x - 1 < 0

Find positive and negative intervals

x \leq 1, 1 < x < 2, x \geq 2

Solve the inequality for each interval

No Solution for x \in R

∣ 3 x + 3 ∣ \leq 2 x + 2

\frac{( 2 x - 1 )}{( x - 1 )} > 2

4 ∣ x - 3 ∣ - 6 < 10

∣ 2 x - 5 ∣ - 3 ∣ x - 5 ∣ + ∣ 4 - x ∣ \geq 3 x + 5

\frac{2 x - 1}{x - 1} > 2

What is |x^2-3x+2|+2x-1<0 ?
The solution to |x^2-3x+2|+2x-1<0 is No Solution for x\in\mathbb{R}