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Popular >

|x-1/2 |>= 1

Solution

x - \frac{1}{2} \geq 1

Solution

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

+2

Interval Notation

(- \infty, - \frac{1}{2}] \cup [\frac{3}{2}, \infty)

Decimal Notation

x \leq - 0.5 or x \geq 1.5

Solution steps

x - \frac{1}{2} \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - \frac{1}{2} \leq - 1 or x - \frac{1}{2} \geq 1

x - \frac{1}{2} \leq - 1 or x - \frac{1}{2} \geq 1

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

Popular Examples

simplify 4*7 simplify

4 \cdot 7

1/(ln(2))ln|2^x+9|>0.999

\frac{1}{ln ( 2 )} ln ∣ 2^{x} + 9 ∣ > 0.999

simplify 1-(-13/85)^2 simplify

1 - (- \frac{13}{85})^{2}

factor 2x^2+15x+28 factor

2 x^{2} + 15 x + 28

6 x - 30 = 84

Frequently Asked Questions (FAQ)

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