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Popular >

(3x-4)/2 >(6-2x)/3

Solution

\frac{3 x - 4}{2} > \frac{6 - 2 x}{3}

Solution

x > \frac{24}{13}

+2

Interval Notation

(\frac{24}{13}, \infty)

Decimal Notation

x > 1.84615 \dots

Solution steps

\frac{3 x - 4}{2} > \frac{6 - 2 x}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x - 4) \cdot 3 > 2 (6 - 2 x)

Expand

(3 x - 4) \cdot 3 : 9 x - 12

Expand

2 (6 - 2 x) : 12 - 4 x

9 x - 12 > 12 - 4 x

Move

12

to the right side

9 x > - 4 x + 24

Move

4 x

to the left side

13 x > 24

Divide both sides by

13

x > \frac{24}{13}

Popular Examples

simplify (sqrt(-10))^2 simplify

(- 10)^{2}

5 x + \frac{1}{2} - 4 < 8

3 x - 2 = - 7

simplify (-(q^4)/5)^{-3}simplify

(- \frac{q ^{4}}{5})^{- 3}

simplify 3+3 simplify

3 + 3

Frequently Asked Questions (FAQ)

What is (3x-4)/2 >(6-2x)/3 ?
The solution to (3x-4)/2 >(6-2x)/3 is x> 24/13