6. State negations of the given statements: a) Everyone is happy and healthy. Negation: b) Some children do not like chocolate. Negation: c) Every student attends the class on zoom or in-person. Negation: d) Not everyone likes oranges. Negation: 7. State negations and contrapositives of the given statements: a) x((x3xx2+1" If the domain consists of all real 9. Determine the truth value of following statements if the domain consists of all real numbers, what are these truth values? Provide a simple for your conclusion. numbers. a) x(x3=1) a) xP(x) TRUE FALSE because: TRUE FALSE because: b) x(x2=x) b) P(x) TRUE FALSE because: TRUE FALSE because: c) x(x2x4) c) xP(x) TRUE FALSE because: TRUE FALSE because: d) x(x2x4) d) xP(x) TRUE FALSE because: TRUE FALSE because: e) x(x4+2=2x2) TRUE FALSE because: f) x(x2+5>2x) TRUE 10. Decide the truth value of the given statements and then state negations of the statements. a) "If x(x+1)=0, then x=0." TRUTH FALSE Negation: b) "If (x+1)(x2)>0, then x2." TRUTH FALSE Negation: 11. Determine the truth value of each of these statements if the domain of each variable consists of all real numbers. Provide an explanation to your decision. a) xy(x=y2) TRUE FALSE because: b) xy(xy=0) TRUE FALSE because: c) xy(y=0xy=1) TRUE FALSE because