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Popular >

2+3|2y-1|>8

Solution

2 + 3 ∣ 2 y - 1 ∣ > 8

Solution

y < - \frac{1}{2} or y > \frac{3}{2}

+2

Interval Notation

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

Decimal Notation

y < - 0.5 or y > 1.5

Solution steps

2 + 3 ∣ 2 y - 1 ∣ > 8

Move

2

to the right side

3 ∣ 2 y - 1 ∣ > 6

Divide both sides by

3

∣ 2 y - 1 ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 y - 1 < - 2 or 2 y - 1 > 2

2 y - 1 < - 2 or 2 y - 1 > 2

y < - \frac{1}{2} or y > \frac{3}{2}

Popular Examples

3 ∣ x - 2 ∣ + 9 < 33

∣ x + 5 ∣ > ∣ x - 5 ∣

|x^2-1|<= |x+3|

x^{2} - 1 \leq ∣ x + 3 ∣

x^{2} - 3 x - 4 < x + 1

∣ - 2 x + 2 ∣ - 1 > 5

Frequently Asked Questions (FAQ)

What is 2+3|2y-1|>8 ?
The solution to 2+3|2y-1|>8 is y<-1/2 \lor y> 3/2