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Popular >

|x-6|<= 6

Solution

∣ x - 6 ∣ \leq 6

Solution

0 \leq x \leq 12

+1

Interval Notation

[0, 12]

Solution steps

∣ x - 6 ∣ \leq 6

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 6 \leq x - 6 \leq 6

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

x \geq 0 and x \leq 12

Merge Overlapping Intervals

0 \leq x \leq 12

Popular Examples

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\frac{24 x ^{2}}{5 x y}

((x-4))/((x-1))> x/3+4

\frac{( x - 4 )}{( x - 1 )} > \frac{x}{3} + 4

(x - 4) (x + 6) < 0

simplify 2(-4/3)^2+5(-4/3)+6 simplify

2 (- \frac{4}{3})^{2} + 5 (- \frac{4}{3}) + 6

3 3^{2} + 5 6^{2} = c^{2}

Frequently Asked Questions (FAQ)

What is |x-6|<= 6 ?
The solution to |x-6|<= 6 is 0<= x<= 12