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Popular >

|x|+6>= 13

Solution

∣ x ∣ + 6 \geq 13

Solution

x \leq - 7 or x \geq 7

+1

Interval Notation

(- \infty, - 7] \cup [7, \infty)

Solution steps

∣ x ∣ + 6 \geq 13

Move

6

to the right side

∣ x ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x \leq - 7 or x \geq 7

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Frequently Asked Questions (FAQ)

What is |x|+6>= 13 ?
The solution to |x|+6>= 13 is x<=-7\lor x>= 7