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Popular >

2|6-x|+4>= 14

Solution

2 ∣ 6 - x ∣ + 4 \geq 14

Solution

x \leq 1 or x \geq 11

+1

Interval Notation

(- \infty, 1] \cup [11, \infty)

Solution steps

2 ∣ 6 - x ∣ + 4 \geq 14

Move

4

to the right side

2 ∣ 6 - x ∣ \geq 10

Divide both sides by

2

∣ 6 - x ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

6 - x \leq - 5 or 6 - x \geq 5

6 - x \leq - 5 or 6 - x \geq 5

x \leq 1 or x \geq 11

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Frequently Asked Questions (FAQ)

What is 2|6-x|+4>= 14 ?
The solution to 2|6-x|+4>= 14 is x<= 1\lor x>= 11