Question

If (3x−7)/(5>−7x−4)/3, what is the least integer value of x?

Answer 1

`(3x-7)/(5)>(-7x-4)/(3)`

start by bringing the denominators of both fractions to the other side

`3(3x-7)>5(-7x-4)`

Distribute the factors

`9x-21>-35x-20`

move al constants to one side and the variables to the other

`9x+35x>-20+21`

simplify both sides

`44x>1`

divide by 44 on both sides

`x>(1)/(44)`