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Popular >

|x+2|>= 5

Solution

∣ x + 2 ∣ \geq 5

Solution

x \leq - 7 or x \geq 3

+1

Interval Notation

(- \infty, - 7] \cup [3, \infty)

Solution steps

∣ x + 2 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 2 \leq - 5 or x + 2 \geq 5

x + 2 \leq - 5 or x + 2 \geq 5

x \leq - 7 or x \geq 3

Popular Examples

7 (x - 3) = 4 (x + 5)

sqrt(29)=5^2+x^2

29 = 5^{2} + x^{2}

factor 3k^3+k^2-4k factor

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

simplify (24!)/(5!19!)simplify

\frac{24 !}{5 ! 19 !}

factor p^6+40p^3q+400q^2 factor

p^{6} + 40 p^{3} q + 400 q^{2}

Frequently Asked Questions (FAQ)

What is |x+2|>= 5 ?
The solution to |x+2|>= 5 is x<=-7\lor x>= 3