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Popular >

((x-2))/3 <((x-3))/2

Solution

\frac{( x - 2 )}{3} < \frac{( x - 3 )}{2}

Solution

x > 5

+1

Interval Notation

(5, \infty)

Solution steps

\frac{( x - 2 )}{3} < \frac{( x - 3 )}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 2) \cdot 2 < 3 (x - 3)

Expand

(x - 2) \cdot 2 : 2 x - 4

Expand

3 (x - 3) : 3 x - 9

2 x - 4 < 3 x - 9

Move

4

to the right side

2 x < 3 x - 5

Move

3 x

to the left side

- x < - 5

Multiply both sides by

- 1

x > 5

Graph

Popular Examples

8 x < \frac{1}{4}

((x-3))/2-((x-2))/8 <= x/2

\frac{( x - 3 )}{2} - \frac{( x - 2 )}{8} \leq \frac{x}{2}

8 x - 4 > 3 x - 9

- 2 (3 x + 2) > - 8 x + 2

2 x - 3 + 7 < 5

Frequently Asked Questions (FAQ)

What is ((x-2))/3 <((x-3))/2 ?
The solution to ((x-2))/3 <((x-3))/2 is x>5