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

The solution to |x+1|<|x-2| is x< 1/2

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|x+1|<|x-2|

∣ x + 1 ∣ < ∣ x - 2 ∣

x < \frac{1}{2}

Interval Notation

(- \infty, \frac{1}{2})

Decimal Notation

x < 0.5

Solution steps

∣ x + 1 ∣ < ∣ x - 2 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

x < - 1 or - 1 \leq x < \frac{1}{2} or No Solution

Merge Overlapping Intervals

x < \frac{1}{2}

100 - 4 x^{2}

f (a) = \frac{2 a ^{2} + 10 a}{3 a ^{2} + 15 a}

x^{2} + 6 x + 10 = 0

- 0.6 (5)^{2} + 4.8 (5)

5 x^{2} - 72 > x^{2} + 42 x