Question

4(x-2)-5x>-1
The sign is greater than or equal to

Answer 1

4(x-2)-5x>=-1

4x-8-5x>=-1

-x-8>=-1
-x>=7 here you can flip the signs
x>=-7

So x can be any number starting at -7.  so -7, -6, -5, etc. 0, 1, 2, etc.

Answer 2

4(x-2)-5x>-1

First distribute the 4

4x-8-5x>-1

Then combine the like terms (the 4x and the -5x)

-x-8>-1

Then add 8 to both sides

-x>7

Lastly divide each side by -1, since you are dividing by a negative number the sign switches becoming less than

x<-7