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Popular >

2|x+3|-4>= 6

Solution

2 ∣ x + 3 ∣ - 4 \geq 6

Solution

x \leq - 8 or x \geq 2

+1

Interval Notation

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

Solution steps

2 ∣ x + 3 ∣ - 4 \geq 6

Move

4

to the right side

2 ∣ x + 3 ∣ \geq 10

Divide both sides by

2

∣ x + 3 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 3 \leq - 5 or x + 3 \geq 5

x + 3 \leq - 5 or x + 3 \geq 5

x \leq - 8 or x \geq 2

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1000 - m^{3}

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9 n^{2} - 45 n + 60

Frequently Asked Questions (FAQ)

What is 2|x+3|-4>= 6 ?
The solution to 2|x+3|-4>= 6 is x<=-8\lor x>= 2