Question

Is -y>-x+4 equal to y>x-4?

Answer 1

No.
With an inequality, if you multiply both sides by a negative value the inequality is reversed
`-y > -x+4`
is equivalent to
`y < x-4`

One way to see this is to
add `(-y)` to both sides:
`0 > (-x+4) +y`
then subtract (-x+4) from both sides
`x-4 < y`
which could be written
`y < x-4`