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Popular >

|x-6|<= 4

Solution

∣ x - 6 ∣ \leq 4

Solution

2 \leq x \leq 10

+1

Interval Notation

[2, 10]

Solution steps

∣ x - 6 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- 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

Merge Overlapping Intervals

2 \leq x \leq 10

Popular Examples

(4 x/2)(4 x/5)=4^8

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

simplify 1/4-1/5+1/6-1/8 simplify

\frac{1}{4} - \frac{1}{5} + \frac{1}{6} - \frac{1}{8}

35x^2-835x+2700>= 0

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

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

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

1/2 =e^{1/2 (0)^2}

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

Frequently Asked Questions (FAQ)

What is |x-6|<= 4 ?
The solution to |x-6|<= 4 is 2<= x<= 10