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Popular >

|2x-6|<= 12

Solution

∣ 2 x - 6 ∣ \leq 12

Solution

- 3 \leq x \leq 9

+1

Interval Notation

[- 3, 9]

Solution steps

∣ 2 x - 6 ∣ \leq 12

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 12 \leq 2 x - 6 \leq 12

2 x - 6 \geq - 12 and 2 x - 6 \leq 12

x \geq - 3 and x \leq 9

Merge Overlapping Intervals

- 3 \leq x \leq 9

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Frequently Asked Questions (FAQ)

What is |2x-6|<= 12 ?
The solution to |2x-6|<= 12 is -3<= x<= 9