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Popular >

| 1/x-3|>= 6

Solution

\frac{1}{x} - 3 \geq 6

Solution

- \frac{1}{3} \leq x < 0 or 0 < x \leq \frac{1}{9}

+2

Interval Notation

[- \frac{1}{3}, 0) \cup (0, \frac{1}{9}]

Decimal Notation

- 0.33333 \dots \leq x < 0 or 0 < x \leq 0.11111 \dots

Solution steps

\frac{1}{x} - 3 \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

\frac{1}{x} - 3 \leq - 6 or \frac{1}{x} - 3 \geq 6

\frac{1}{x} - 3 \leq - 6 or \frac{1}{x} - 3 \geq 6

- \frac{1}{3} \leq x < 0 or 0 < x \leq \frac{1}{9}

Popular Examples

simplify 3/4*5/7 simplify

\frac{3}{4} \cdot \frac{5}{7}

simplify \sqrt[5]{0}simplify

- 3 x^{2} - 16 = - 3 x

simplify (5/4)^{3/2}simplify

(\frac{5}{4})^{\frac{3}{2}}

747 \leq - 57 - d

Frequently Asked Questions (FAQ)

What is | 1/x-3|>= 6 ?
The solution to | 1/x-3|>= 6 is -1/3 <= x<0\lor 0<x<= 1/9