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Popular >

|x|+5>= 11

Solution

∣ x ∣ + 5 \geq 11

Solution

x \leq - 6 or x \geq 6

+1

Solution steps

∣ x ∣ + 5 \geq 11

Move

5

to the right side

∣ x ∣ \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x \leq - 6 or x \geq 6

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Frequently Asked Questions (FAQ)

What is |x|+5>= 11 ?
The solution to |x|+5>= 11 is x<=-6\lor x>= 6