check my answer please.
3x-1/4 - x-5/5-2

Question

check my answer please.
3x-1/4 - x-5/5>-2

anonymous · Answer

i got x<-5

solomonzelman · Answer

$\large\color{black}{ \displaystyle \frac{3x-1}{4} -\frac{x-5}{5}>-2 }$


is this what your equation is like?

anonymous · Answer

yes

solomonzelman · Answer

$\large\color{black}{ \displaystyle \frac{3x-1}{4} -\frac{x-5}{5}>-2 }$

common denominator is 20, so the first fraction must be multiplied times 5 on top and bottom, and second fraction must be multiplied times 4 on top and bottom.

This multiplication will give you:

$\large\color{black}{ \displaystyle \frac{15x-5}{20} -\frac{4x-20}{20}>-2 }$

$\large\color{black}{ \displaystyle \frac{15x-5 -(4x-20)}{20}>-2 }$

$\large\color{black}{ \displaystyle \frac{15x-5 -4x+20}{20}>-2 }$

$\large\color{black}{ \displaystyle 15x-5 -4x+20>-40 }$

$\large\color{black}{ \displaystyle 15x-5 -4x>-60 }$

$\large\color{black}{ \displaystyle 15x -4x>-55 }$

$\large\color{black}{ \displaystyle 11x>-55 }$

$\large\color{black}{ \displaystyle x>-5 }$

solomonzelman · Answer

I don't know why you got x is LESS than -5, but the 5 on the left side is correct tho'.

anonymous · Answer

i understand where i went wrong, thats very helpfull

solomonzelman · Answer

That is very nice to hear :)