The Equation Editor Shortcuts table below lists the commands you may need to complete this homework. For more shortcuts, please reference Steve Jones' list from the Blackboard. Type your answer under each question. Please do NOT use a separate answer sheet. 1. Let P(x) denote the statement "the word x contains the letter a" What are these truth values? a. P( orange )P( lemon ) b. P( true )P( false ) 2. Let P(x) be the statement " x can speak Russian" and let Q(x) be the statement " x knows the computer language C++. ." Express each of these sentences in terms of P(x),Q(x), quantifiers, and logical connectives. The domain for quantifiers consists of all students at your school. a. There is a student at your school who can speak Russian and who knows C++. b. There is a student at your school who can speak Russian but who doesn't know C++. c. Every student at your school either can speak Russian or knows C++. d. No student at your school can speak Russian or knows C++