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Popular >

|-2x+17|>= 10

Solution

∣ - 2 x + 17 ∣ \geq 10

Solution

x \leq \frac{7}{2} or x \geq \frac{27}{2}

+2

Interval Notation

(- \infty, \frac{7}{2}] \cup [\frac{27}{2}, \infty)

Decimal Notation

x \leq 3.5 or x \geq 13.5

Solution steps

∣ - 2 x + 17 ∣ \geq 10

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

- 2 x + 17 \leq - 10 or - 2 x + 17 \geq 10

- 2 x + 17 \leq - 10 or - 2 x + 17 \geq 10

x \leq \frac{7}{2} or x \geq \frac{27}{2}

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10 + 3 y - 2 = 4 y - y + 8

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\frac{4 ^{8}}{4 ^{3}}

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x^{5} - x y^{4}

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1 6^{(\frac{3}{4})}

simplify (1/2)3 simplify

(\frac{1}{2}) 3

Frequently Asked Questions (FAQ)

What is |-2x+17|>= 10 ?
The solution to |-2x+17|>= 10 is x<= 7/2 \lor x>= 27/2