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Popular >

| x/2+7|>= 2

Solution

\frac{x}{2} + 7 \geq 2

Solution

x \leq - 18 or x \geq - 10

+1

Interval Notation

(- \infty, - 18] \cup [- 10, \infty)

Solution steps

\frac{x}{2} + 7 \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

\frac{x}{2} + 7 \leq - 2 or \frac{x}{2} + 7 \geq 2

\frac{x}{2} + 7 \leq - 2 or \frac{x}{2} + 7 \geq 2

x \leq - 18 or x \geq - 10

Popular Examples

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c^{3} - 27

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n^{2} - 10 n + 21

simplify (25x^2y^4)/(25xy)simplify

\frac{25 x ^{2} y ^{4}}{25 x y}

(-2(x-3))/6 >-2

\frac{- 2 ( x - 3 )}{6} > - 2

X + 4 = 12 - X

Frequently Asked Questions (FAQ)

What is | x/2+7|>= 2 ?
The solution to | x/2+7|>= 2 is x<=-18\lor x>=-10