Answer
Part A: No, every airline would allow it.
Part B: AirTran, Alaska/Horizon, and Southwest
Work Step by Step
Part A: The linear inches of the rolling bag are $9+12+21=42$.
Every company on the list allows bags of 42 linear inches.
Part B: The linear inches measurement of this bag is $10+14+22=46$
The airlines that allow bags of size 46 inches or greater are AirTran, Alaska/Horizon, and Southwest.