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Popular >

(2x-5)/3 > x/(3+10)

Solution

\frac{2 x - 5}{3} > \frac{x}{3 + 10}

Solution

x > \frac{65}{23}

+2

Interval Notation

(\frac{65}{23}, \infty)

Decimal Notation

x > 2.82608 \dots

Solution steps

\frac{2 x - 5}{3} > \frac{x}{3 + 10}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x - 5) (3 + 10) > 3 x

Simplify

13 (2 x - 5) > 3 x

Expand

13 (2 x - 5) : 26 x - 65

26 x - 65 > 3 x

Move

65

to the right side

26 x > 3 x + 65

Move

3 x

to the left side

23 x > 65

Divide both sides by

23

x > \frac{65}{23}

Popular Examples

((4x+3))/(14+1)>2(3x-2)

\frac{( 4 x + 3 )}{14 + 1} > 2 (3 x - 2)

\frac{( x + 2 )}{2} > 3

solvefor x,-17x+8y>0 solve for

x, - 17 x + 8 y > 0

\frac{x}{3 - 8} < 2 x

- (a - 1) < - 1

Frequently Asked Questions (FAQ)

What is (2x-5)/3 > x/(3+10) ?
The solution to (2x-5)/3 > x/(3+10) is x> 65/23