What is the answer to |x-2|+|x-5|=13 ?

The answer to |x-2|+|x-5|=13 is x=-3\lor x=10

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|x-2|+|x-5|=13

∣ x - 2 ∣ + ∣ x - 5 ∣ = 13

x = - 3 or x = 10

Solution steps

∣ x - 2 ∣ + ∣ x - 5 ∣ = 13

Find positive and negative intervals

x < 2, 2 \leq x < 5, x \geq 5

Solve the inequality for each interval

x = - 3 or No Solution or x = 10

x = - 3 or x = 10

(1) x^{2} - 1 = x + 3

20 + 5 ∣ 2 x - 1 ∣ + 5 = 20

7 + 3 ∣ 2 x - 3 ∣ = 5

∣ x ∣^{3} - 3 x^{2} + 3 ∣ x ∣ - 2 = 0

∣ x - a ∣ = 2

What is the answer to |x-2|+|x-5|=13 ?
The answer to |x-2|+|x-5|=13 is x=-3\lor x=10
Solve for x: |x-2|+|x-5|=13
The solution is x=-3\lor x=10