1. State the value of x after the staement if P(x) then x := 1 is executed, where P(x) is the statement "x>1," if the value of x when this statement is reached is x=0 2. Let Q(x) be the statement " x+1 > 2x." If the domain consists pf the integers, what are these truth values? ∀xQ(x) 3. Determine the truth value of each of these statements if the domain of each variable consists of all real numbers. ∀x(x^2+2≥1)
1. State the value of x after the staement if P(x) then x := 1 is executed, where P(x) is the statement "x>1," if the value of x when this statement is reached is x=0
2. Let Q(x) be the statement " x+1 > 2x." If the domain consists pf the integers, what are these truth values? ∀xQ(x)
3. Determine the truth value of each of these statements if the domain of each variable consists of all real numbers. ∀x(x^2+2≥1)
4. suppose that the domain of the propositional function P(x) consists of the integers -2,-1,0,1, and 2. Write out the proposition using disjunctions, conjunctions, and negations. ∀xP(x)
5. Translate this statement into a logical expressions using predicates, quantifiers, and lofical connectives.
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