|x-6|<= 4

解答

∣ x - 6 ∣ \leq 4

2 \leq x \leq 10

间隔符号

[2, 10]

求解步骤

∣ x - 6 ∣ \leq 4

使用绝对值运算法则: 若

∣ u ∣ \leq a, a > 0

，则

- a \leq u \leq a

- 4 \leq x - 6 \leq 4

x - 6 \geq - 4 and x - 6 \leq 4

x \geq 2 and x \leq 10

合并重叠的区间

2 \leq x \leq 10

(4 \frac{x}{2}) (4 \frac{x}{5}) = 4^{8}

s im pl i f y \frac{1}{4} - \frac{1}{5} + \frac{1}{6} - \frac{1}{8}

35 x^{2} - 835 x + 2700 \geq 0

- 2 (x + 3) - 3 x < 7 (x - 4) + x

\frac{1}{2} = e^{\frac{1}{2} (0)^{2}}