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Popular >

2|3-x|-10>= 0

Solution

2 ∣ 3 - x ∣ - 10 \geq 0

Solution

x \leq - 2 or x \geq 8

+1

Interval Notation

(- \infty, - 2] \cup [8, \infty)

Solution steps

2 ∣ 3 - x ∣ - 10 \geq 0

Move

10

to the right side

2 ∣ 3 - x ∣ \geq 10

Divide both sides by

2

∣ 3 - x ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 - x \leq - 5 or 3 - x \geq 5

3 - x \leq - 5 or 3 - x \geq 5

x \leq - 2 or x \geq 8

Popular Examples

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- \frac{3 π}{4} + 2 π

8+|1-x/2 |>= 10

8 + 1 - \frac{x}{2} \geq 10

factor 27y^2-12x^2 factor

27 y^{2} - 12 x^{2}

(x-5)(x+1)(3-x)>= 0

(x - 5) (x + 1) (3 - x) \geq 0

factor n^2+7n+6 factor

n^{2} + 7 n + 6

Frequently Asked Questions (FAQ)

What is 2|3-x|-10>= 0 ?
The solution to 2|3-x|-10>= 0 is x<=-2\lor x>= 8