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Popular >

|2x+2|+2>= 6

Solution

∣ 2 x + 2 ∣ + 2 \geq 6

Solution

x \leq - 3 or x \geq 1

+1

Interval Notation

(- \infty, - 3] \cup [1, \infty)

Solution steps

∣ 2 x + 2 ∣ + 2 \geq 6

Move

2

to the right side

∣ 2 x + 2 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 2 \leq - 4 or 2 x + 2 \geq 4

2 x + 2 \leq - 4 or 2 x + 2 \geq 4

x \leq - 3 or x \geq 1

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(\frac{\frac{1}{16}}{2})^{2}

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\frac{1 - 3 x}{x - 2} < 2

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4 \cdot 5

Frequently Asked Questions (FAQ)

What is |2x+2|+2>= 6 ?
The solution to |2x+2|+2>= 6 is x<=-3\lor x>= 1