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Popular >

|x-6|<= 5

Solution

∣ x - 6 ∣ \leq 5

Solution

1 \leq x \leq 11

+1

Interval Notation

[1, 11]

Solution steps

∣ x - 6 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq x - 6 \leq 5

x - 6 \geq - 5 and x - 6 \leq 5

x \geq 1 and x \leq 11

Merge Overlapping Intervals

1 \leq x \leq 11

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6 x^{2} + 18 x - 108

x + 5 < - 13

x^{2} + \frac{7}{2} x = 0

Frequently Asked Questions (FAQ)

What is |x-6|<= 5 ?
The solution to |x-6|<= 5 is 1<= x<= 11