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Popular >

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

Solution

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

Solution

x \leq 8 or x \geq 16

+1

Interval Notation

(- \infty, 8] \cup [16, \infty)

Solution steps

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

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq 8 or x \geq 16

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- 2 x^{2} + 10 x - 7 = 0

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9 (2 x - 3)^{2} - 3 (3 - 2 x) - 6

Frequently Asked Questions (FAQ)

What is |-1/4 x+3|>= 1 ?
The solution to |-1/4 x+3|>= 1 is x<= 8\lor x>= 16