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Popular >

|6-3x|>= 12

Solution

∣ 6 - 3 x ∣ \geq 12

Solution

x \leq - 2 or x \geq 6

+1

Interval Notation

(- \infty, - 2] \cup [6, \infty)

Solution steps

∣ 6 - 3 x ∣ \geq 12

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

6 - 3 x \leq - 12 or 6 - 3 x \geq 12

6 - 3 x \leq - 12 or 6 - 3 x \geq 12

x \leq - 2 or x \geq 6

Popular Examples

3 x + 2 = 5 x

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81 x^{2} - 36

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a^{2} + a^{5}

15= 1/(1+3.6363)

15 = \frac{1}{1 + 3.6363}

factor x^4+3x^3-30x^2-124x-120 factor

x^{4} + 3 x^{3} - 30 x^{2} - 124 x - 120

Frequently Asked Questions (FAQ)

What is |6-3x|>= 12 ?
The solution to |6-3x|>= 12 is x<=-2\lor x>= 6