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Popular >

|3x-6|>= 21

Solution

∣ 3 x - 6 ∣ \geq 21

Solution

x \leq - 5 or x \geq 9

+1

Interval Notation

(- \infty, - 5] \cup [9, \infty)

Solution steps

∣ 3 x - 6 ∣ \geq 21

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x - 6 \leq - 21 or 3 x - 6 \geq 21

3 x - 6 \leq - 21 or 3 x - 6 \geq 21

x \leq - 5 or x \geq 9

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Frequently Asked Questions (FAQ)

What is |3x-6|>= 21 ?
The solution to |3x-6|>= 21 is x<=-5\lor x>= 9