c) Let T(x, y) be the statement "x trusts y." where the domain consists of all people in the world. Use quantifiers to express each of these statements. [1 mark] [1 mark] [1 mark] [1 mark] [1 mark] [1 mark] i. Everybody trusts Bob. Bob trusts somebody. 11. 111. Alice trusts herself. Eyeryone trusts somebody. Someone trusts everybody. Somebody is trusted by everybody. iv. V. V1. d) Write each of these statements in the form "if p, then q" in English. [Hint: Refer to the list of common ways to express conditional statements.] It snows whenever the wind blows from the northeast. That the Pistons win the championship implies that they beat the Lakers. [1 mark] It is necessary to walk 8 miles to get to the top of Long's Peak. To get tenure as a professor, it is sufficient to be world-famous. 1. [1 mark] 11. 111. [1 mark] [1 mark] IV.