remember, you can do anything to an equation as long as you do it to both sides
for all inequalities, when you multiply or divide both sides by a negaitve, flip the direction of the sign (so from > to < or ≤ to ≥)
so
-1.2z-8.2>-9.7
we want to isolate the variable
add 8.2 to both sides
-1.2z+8.2-8.2>8.2-9.7
-1.2z+0>-1.5
-1.2z>-1.5
divide both sides by -1.2 and flip the sign
z<1.25