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Popular >

|x-6|<= 3

Solution

∣ x - 6 ∣ \leq 3

Solution

3 \leq x \leq 9

+1

Interval Notation

[3, 9]

Solution steps

∣ x - 6 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq x - 6 \leq 3

x - 6 \geq - 3 and x - 6 \leq 3

x \geq 3 and x \leq 9

Merge Overlapping Intervals

3 \leq x \leq 9

Popular Examples

factor k^3-64 factor

k^{3} - 64

simplify sqrt(2)(2sqrt(0.125)+sqrt(18))simplify

2 (2 0.125 + 18)

simplify (6.47+8.604)/(3.37+90.8)simplify

\frac{6.47 + 8.604}{3.37 + 90.8}

\frac{x}{6} + 2 = - 16

simplify-3/8+1/4 simplify

- \frac{3}{8} + \frac{1}{4}

Frequently Asked Questions (FAQ)

What is |x-6|<= 3 ?
The solution to |x-6|<= 3 is 3<= x<= 9