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Popular >

x|x+5|>=-6

Solution

x ∣ x + 5 ∣ \geq - 6

Solution

x = - 5 or x \geq 0

+1

Interval Notation

x = - 5 \cup [0, \infty)

Solution steps

x ∣ x + 5 ∣ \geq - 6

Move

6

to the left side

x ∣ x + 5 ∣ + 6 \geq 0

∣ x + 5 ∣ \geq 0

If

ab \geq 0 and a \geq 0

then

b \geq 0 or a = 0

x \geq 0 or ∣ x + 5 ∣ = 0

∣ x + 5 ∣ = 0 : x = - 5

Combine the intervals

x \geq 0 or x = - 5

Merge Overlapping Intervals

x = - 5 or x \geq 0

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Frequently Asked Questions (FAQ)

What is x|x+5|>=-6 ?
The solution to x|x+5|>=-6 is x=-5\lor x>= 0