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72-q\geq 78
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-q\geq 78-72
Subtract 72 from both sides.
-q\geq 6
Subtract 72 from 78 to get 6.
q\leq -6
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.