Using the provided keys, symbolize the following English sentences into PL sentences. On your assignment, include your name and student number. Be sure that your assignment is legible, and that you show your work to receive full marks. You may submit either handwritten work (jpg, PNG, etc.), or (preferably) typed up in Word and submitted as a .docx or a PDF. If you're typing it up, it is highly recommended that you do your work by hand first. You can find a tutorial on how to input connective symbols in Word at the top of the main Moodle page, right below the syllabus. Hint: we did not discuss this in class, but a sentence that has a reference like "a positive integer" is quantified with a universal even though the indefinite article ("a") might suggest otherwise, because it is referencing positive integers in a general sense. Part A UD The set (Brandon University faculty} Tx x is a tenured professor Sx x is a sessional instructor Ax x is a member of the Arts Faculty Ex x is a member of the Education Faculty Cxy x co-teaches with y 1. Not all sessional instructors are members of the Education Faculty. 2. No sessional instructors are members of both the Arts and the Education Faculties. 3. All Arts Faculty members are either tenured professors or sessional instructors. 4. Some Arts Faculty members don't co-teach with any Education Faculty members. 5. Some sessional instructors in the Arts Faculty co-teach with each other. →→→Part B is on the next page! The set (all positive integers) Part B UD Px x is prime Ox x is odd Ex x is even Gxy x is greater than y Lxy x is less than y Dxy x is evenly divisible by y Txyz Sxyz x is the product of y and z x is the sum of y and z a 1 b 2 6. For each prime, there is a greater non-prime. 7. A positive integer is even if it is evenly divisible by 1, 2, and itself. 8. There is no even prime positive integer that is not evenly divisible by 1, 2, and itself. 9. The product of a prime and an even positive integer is not prime. 10. Every sum of any two positive integers is even if and only if those integers are both even or both odd.