|x+5|+|3-5|=15

解答

∣ x + 5 ∣ + ∣ 3 - 5 ∣ = 15

x = - 18 or x = 8

求解步骤

∣ x + 5 ∣ + ∣ 3 - 5 ∣ = 15

找到正负区间

x < - 5, x \geq - 5

对每个区间解不等式

x = - 18 or x = 8

∣ x - 1 ∣ + ∣ x - 3 ∣ + 3 ∣ 5 - x ∣ = 9

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ + ∣ x - 4 ∣ = 4

∣ x + 2 ∣ = - 17

(x - 1) (∣ x ∣ - 1) = \frac{- 1}{2}

\frac{x + 1}{2} - 6 = - 2