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Popular >

|(x+9)/2 |>= 9

Solution

\frac{x + 9}{2} \geq 9

Solution

x \leq - 27 or x \geq 9

+1

Interval Notation

(- \infty, - 27] \cup [9, \infty)

Solution steps

\frac{x + 9}{2} \geq 9

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

\frac{x + 9}{2} \leq - 9 or \frac{x + 9}{2} \geq 9

\frac{x + 9}{2} \leq - 9 or \frac{x + 9}{2} \geq 9

x \leq - 27 or x \geq 9

Popular Examples

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507

(t-1)^2=(t+1)^2+16

(t - 1)^{2} = (t + 1)^{2} + 16

factor 15x^2+14xy-16y^2 factor

15 x^{2} + 14 x y - 16 y^{2}

∣ 3 b ∣ + 4 = 5

simplify (4!)/(2!2!)simplify

\frac{4 !}{2 ! 2 !}

Frequently Asked Questions (FAQ)

What is |(x+9)/2 |>= 9 ?
The solution to |(x+9)/2 |>= 9 is x<=-27\lor x>= 9