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Popular >

|(x-6)/3 |<= 3

Solution

\frac{x - 6}{3} \leq 3

Solution

- 3 \leq x \leq 15

+1

Interval Notation

[- 3, 15]

Solution steps

\frac{x - 6}{3} \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq \frac{x - 6}{3} \leq 3

\frac{x - 6}{3} \geq - 3 and \frac{x - 6}{3} \leq 3

x \geq - 3 and x \leq 15

Merge Overlapping Intervals

- 3 \leq x \leq 15

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Frequently Asked Questions (FAQ)

What is |(x-6)/3 |<= 3 ?
The solution to |(x-6)/3 |<= 3 is -3<= x<= 15