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Popular >

|2y-1|>= 2

Solution

∣ 2 y - 1 ∣ \geq 2

Solution

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

+2

Interval Notation

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

Decimal Notation

y \leq - 0.5 or y \geq 1.5

Solution steps

∣ 2 y - 1 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 y - 1 \leq - 2 or 2 y - 1 \geq 2

2 y - 1 \leq - 2 or 2 y - 1 \geq 2

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

Popular Examples

simplify 12(3/4)simplify

12 (\frac{3}{4})

simplify ((b 3/4 b 6/8)/(b 1/4)) 1/4 simplify

(\frac{b \frac{3}{4} b \frac{6}{8}}{b \frac{1}{4}}) \frac{1}{4}

factor 9k^2+24k+16 factor

9 k^{2} + 24 k + 16

simplify 3/(4+4sqrt(5))simplify

\frac{3}{4 + 4 5}

x - 4 \leq 3

Frequently Asked Questions (FAQ)

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