What is |x-2|+|x-9|+|8-x|>13 ?

The solution to |x-2|+|x-9|+|8-x|>13 is x 32/3

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|x-2|+|x-9|+|8-x|>13

∣ x - 2 ∣ + ∣ x - 9 ∣ + ∣ 8 - x ∣ > 13

x < 2 or x > \frac{32}{3}

Interval Notation

(- \infty, 2) \cup (\frac{32}{3}, \infty)

Decimal Notation

x < 2 or x > 10.66666 \dots

Solution steps

∣ x - 2 ∣ + ∣ x - 9 ∣ + ∣ 8 - x ∣ > 13

Find positive and negative intervals

x < 2, 2 \leq x \leq 8, 8 < x < 9, x \geq 9

Solve the inequality for each interval

x < 2 or No Solution or x > \frac{32}{3}

Merge Overlapping Intervals

x < 2 or x > \frac{32}{3}

64 v^{2} - 25 w^{2}

d z x^{3} y - 3 x y^{2}

6 x + 4 = 39 + x

8 w^{3} - 27

\frac{3 + 18}{1 + 8}

What is |x-2|+|x-9|+|8-x|>13 ?
The solution to |x-2|+|x-9|+|8-x|>13 is x<2\lor x> 32/3