What is x<3|1-x|-2|x-2| ?

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x<3|1-x|-2|x-2|

x < 3 ∣ 1 - x ∣ - 2 ∣ x - 2 ∣

x < - \frac{1}{2} or x > \frac{7}{4}

Interval Notation

(- \infty, - \frac{1}{2}) \cup (\frac{7}{4}, \infty)

Decimal Notation

x < - 0.5 or x > 1.75

Solution steps

x < 3 ∣ 1 - x ∣ - 2 ∣ x - 2 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

x < - \frac{1}{2} or \frac{7}{4} < x < 2 or x \geq 2

Merge Overlapping Intervals

x < - \frac{1}{2} or x > \frac{7}{4}

144 q^{4} x^{24}

9^{2} + 5^{2}

(1 - \frac{1}{1. 5 ^{2}}) 100%

2 + x = 4

9 z^{2} = - 6 z + 15