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Popular >

|x+1|>= 5

Solution

∣ x + 1 ∣ \geq 5

Solution

x \leq - 6 or x \geq 4

+1

Interval Notation

(- \infty, - 6] \cup [4, \infty)

Solution steps

∣ x + 1 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 1 \leq - 5 or x + 1 \geq 5

x + 1 \leq - 5 or x + 1 \geq 5

x \leq - 6 or x \geq 4

Popular Examples

factor d^3-4d^2+3d factor

d^{3} - 4 d^{2} + 3 d

4 x^{2} + x - 4 = 0

longmult 1.2*5 long multiplication

1.2 \cdot 5

simplify 9/2-2 simplify

\frac{9}{2} - 2

6 x + 7 < 12 x - 10

Frequently Asked Questions (FAQ)

What is |x+1|>= 5 ?
The solution to |x+1|>= 5 is x<=-6\lor x>= 4