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Popular >

|-4x+1|>= 9

Solution

∣ - 4 x + 1 ∣ \geq 9

Solution

x \leq - 2 or x \geq \frac{5}{2}

+2

Interval Notation

(- \infty, - 2] \cup [\frac{5}{2}, \infty)

Decimal Notation

x \leq - 2 or x \geq 2.5

Solution steps

∣ - 4 x + 1 ∣ \geq 9

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

- 4 x + 1 \leq - 9 or - 4 x + 1 \geq 9

- 4 x + 1 \leq - 9 or - 4 x + 1 \geq 9

x \leq - 2 or x \geq \frac{5}{2}

Popular Examples

factor 2b^2+17b+21 factor

2 b^{2} + 17 b + 21

factor 35x^2+12xy-32y^2 factor

35 x^{2} + 12 x y - 32 y^{2}

simplify (3+2i)(2-i)simplify

(3 + 2 i) (2 - i)

factor x^2-b^2 factor

x^{2} - b^{2}

x (x - 15) + 56 = 0

Frequently Asked Questions (FAQ)

What is |-4x+1|>= 9 ?
The solution to |-4x+1|>= 9 is x<=-2\lor x>= 5/2