PREDICATE LOGIC: Write the following predicates symbolically and determine its truth value. Note: Use at least three (3) values for the variables. 1. for every real number x, if x>1 then x – 1 > 1 2. for some real number x, x2 ≤ 0 C. Translate the following English sentence into symbol. (3 pts each) 1. No one in this class is wearing pants and a guitarist. Let: Domain of x is all persons A(x): x is wearing pants B(x): x is a guitarist C(x): belongs to the class Answer: __________________________________________________ 2. No one in this class is wearing pants and a guitarist. Let: Domain of x is persons in this class A(x): x is wearing pants B(x): x is a guitarist Answer: __________________________________________________ 3. There is a student at your school who knows C++ but who doesn’t know Java. Let: Domain: all students at your school C(x): x knows C++ J(x): x knows Java Answer: ______________________________
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