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Popular >

|2x+6|>= 10

Solution

∣ 2 x + 6 ∣ \geq 10

Solution

x \leq - 8 or x \geq 2

+1

Interval Notation

(- \infty, - 8] \cup [2, \infty)

Solution steps

∣ 2 x + 6 ∣ \geq 10

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 6 \leq - 10 or 2 x + 6 \geq 10

2 x + 6 \leq - 10 or 2 x + 6 \geq 10

x \leq - 8 or x \geq 2

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Frequently Asked Questions (FAQ)

What is |2x+6|>= 10 ?
The solution to |2x+6|>= 10 is x<=-8\lor x>= 2