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Popular >

|a+7|-2>= 3

Solution

∣ a + 7 ∣ - 2 \geq 3

Solution

a \leq - 12 or a \geq - 2

+1

Interval Notation

(- \infty, - 12] \cup [- 2, \infty)

Solution steps

∣ a + 7 ∣ - 2 \geq 3

Move

2

to the right side

∣ a + 7 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

a + 7 \leq - 5 or a + 7 \geq 5

a + 7 \leq - 5 or a + 7 \geq 5

a \leq - 12 or a \geq - 2

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Frequently Asked Questions (FAQ)

What is |a+7|-2>= 3 ?
The solution to |a+7|-2>= 3 is a<=-12\lor a>=-2