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Popular >

(5x+1)/6 >(2-2x+1)/3

Solution

\frac{5 x + 1}{6} > \frac{2 - 2 x + 1}{3}

Solution

x > \frac{5}{9}

+2

Interval Notation

(\frac{5}{9}, \infty)

Decimal Notation

x > 0.55555 \dots

Solution steps

\frac{5 x + 1}{6} > \frac{2 - 2 x + 1}{3}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(5 x + 1) \cdot 3 > 6 (2 - 2 x + 1)

Simplify

(5 x + 1) \cdot 3 > 6 (- 2 x + 3)

Expand

(5 x + 1) \cdot 3 : 15 x + 3

Expand

6 (- 2 x + 3) : - 12 x + 18

15 x + 3 > - 12 x + 18

Move

3

to the right side

15 x > - 12 x + 15

Move

12 x

to the left side

27 x > 15

Divide both sides by

27

x > \frac{5}{9}

Popular Examples

x > 57 + x

solvefor a,a-b<0 solve for

a, a - b < 0

2 x - 4 < - 10 + 4 x

a/4+24-a/3 <= 7

\frac{a}{4} + 24 - \frac{a}{3} \leq 7

- x - 1 + 2 > 9 - 7 x + 5

Frequently Asked Questions (FAQ)

What is (5x+1)/6 >(2-2x+1)/3 ?
The solution to (5x+1)/6 >(2-2x+1)/3 is x> 5/9