In tennis, a player must win at least 6 games to win a set. If g is the number of games the player won and s is the number of sets the player won, which of the following inequalities must be true?

In tennis, a player must win at least 6 games to win a set. If g is the number of games the player won and s is the number of sets the player won, which of the following inequalities must be true?

A. s ≤ 6g
B. s ≥ 6g
C. 6s ≤ g
D. 6s ≥ g

I thought the answer C and D would cancel out since g is games and number of games is 6. So then I chose A but that answer was wrong. Could you explain the reason for that?

A memory chip is designed to hold a number of transistors and heat sinks…

KHAN Q:
A memory chip is designed to hold a number of transistors and heat sinks. There must be at least 1 heat sink for every 2000 transistors to prevent overheating. Also, each transistor has an area of 2.0 x 10^-10 mm^2, each heat sink has an area of 3.6 x 10^-6 mm^2, and the total area of transistors and heat sinks must be at most 2 mm^2. What is the approx. max. # of transistors that the chip can hold according to this design?
A. 2.78 x 10^2 B. 5.56 x 10^5 C. 1.0 x 10^9 D. 1.0 x 10^10
Ans=C. S.O.S, PLZ!