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Popular >

|-2+1/4 x|>= 3

Solution

- 2 + \frac{1}{4} x \geq 3

Solution

x \leq - 4 or x \geq 20

+1

Interval Notation

(- \infty, - 4] \cup [20, \infty)

Solution steps

- 2 + \frac{1}{4} x \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

- 2 + \frac{1}{4} x \leq - 3 or - 2 + \frac{1}{4} x \geq 3

- 2 + \frac{1}{4} x \leq - 3 or - 2 + \frac{1}{4} x \geq 3

x \leq - 4 or x \geq 20

Popular Examples

6 \leq x \leq 10

3 t^{2} - t - 7 = 0

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2 x^{3} - 7 x^{2} + 4 x + 4

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- \frac{1}{3} \cdot 21

simplify (6^{1/2}*4^{1/3})^2 simplify

(6^{\frac{1}{2}} \cdot 4^{\frac{1}{3}})^{2}

Frequently Asked Questions (FAQ)

What is |-2+1/4 x|>= 3 ?
The solution to |-2+1/4 x|>= 3 is x<=-4\lor x>= 20