Math 115 Spring 2022 Problems due Tues. 02.22 Instructions: Be sure to write clear problem statements and then show your work step by step. You can look at the Syllabus section Written Work Expectations for guidelines on successful academic writing. 1. Suppose you go to a casino, and bring $x with you. Here's what happens that night: First, you pay $25 admission [which entitles you to free snacks and drinks]. Then you go to the Blackjack table, bet everything left, and triple your money. Next, you try your luck at the Roulette wheel, and lose $150. Being furious now, you go to the Craps table, and there you double your money. You are so happy now that you go to the gift shop and buy a big fat cigar for $10, and leave the casino. While smoking it in your hotel room, you count your money, and nd you now have $5090 left. (I) Write, in terms of x, how much money you have: (a) After paying your admission; (b) After winning at the Blackjack table; (c) After losing at Roulette; (d) After winning at Craps; (e) While you smoke your cigar; (II) Next, set up an equation and solve it for the $25 you initially brought to the casino. (III) In a complete English sentence, state the answer to [II]. 2. [1) Consider the equation [2x 1] = 5. Set up the two equations you would need to solve, in order to nd it Then solve, and state your solution. (11] Next consider the inequality [2x 1/