Difference between direct reasoning and indirect reasoning in math (probability)

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

Which is the graph of this function 3 square root of x plus one if

Ab and bc are tangent to circle d. find x is ab = 3x + 8 and bc = 26. find x