Question

q + 12 – 2(q – 22) > 0

= <56???

Answer 1

looks like you got the correct answer:
q + 12 – 2(q – 22) > 0

distribute the -2:
q + 12 -2q + 44 > 0
collect terms:
-q +56 > 0

add q to both sides:
56 > q which is the same as q<56

or if you like, subtract 56 from both sides:
-q > -56
negate both sides (multiply by -1) *and* flip the relation
q < 56

Answer 2

\[q+12-2q+44>0\]
\[-q+56>0\]

\[-q>-56\]
\[q<56\]

Answer 3

I concur: q < 56