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Popular >

3|2y+3|>12

Solution

3 ∣ 2 y + 3 ∣ > 12

Solution

y < - \frac{7}{2} or y > \frac{1}{2}

+2

Interval Notation

(- \infty, - \frac{7}{2}) \cup (\frac{1}{2}, \infty)

Decimal Notation

y < - 3.5 or y > 0.5

Solution steps

3 ∣ 2 y + 3 ∣ > 12

Divide both sides by

3

∣ 2 y + 3 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 y + 3 < - 4 or 2 y + 3 > 4

2 y + 3 < - 4 or 2 y + 3 > 4

y < - \frac{7}{2} or y > \frac{1}{2}

Popular Examples

factor 16a^2-24ab+9b^2 factor

16 a^{2} - 24 ab + 9 b^{2}

simplify (2i)/(4-3i)simplify

\frac{2 i}{4 - 3 i}

2(3x+1)=3(1+2x)

2 (3 x + 1) = 3 (1 + 2 x)

8 - 8 k = 24

simplify 1/5+1 simplify

\frac{1}{5} + 1

Frequently Asked Questions (FAQ)

What is 3|2y+3|>12 ?
The solution to 3|2y+3|>12 is y<-7/2 \lor y> 1/2