G Prove each of the following statements using mathematical induction. (a) Prove the following generalized version of DeMorgan's law for logical expressions: For any integer n ≥ 2, ¬(x1∧x2∧...∧xn)=¬x1∨¬x2∨...∨¬xn You can use DeMorgan's law for two variables in your proof: ¬(x1∧x2)=¬x1∨¬x2 (b)

Amanda went into the grocery business starting with five stores. after one year, she opened two more stores. after two years, she opened two more stores than the previous year. if amanda expands her grocery business following the same pattern, which of the following graphs represents the number of stores she will own over time?