Consider the following quantified statement:

$$x in Z $[($x$2>=0)($x$2+2$x $80)]$

Which one of the alternatives provides a true statement regarding the given statement or its negation?

a$.$

The negation $$x in Z $[($x$2<0)($x$2+2$x $8<=0)]$ is not true.

b$.$

x $=3$ would be a counterexample to prove that the negation is not true.

c$.$

x $=6$ would be a counterexample to prove that the statement is not true.

d$.$

The negation $$x in Z $[($x$2<0)($x$2+2$x $8<=0)]$ is true.Consider the following quantified statement:

$$x in Z $[($x$2>=0)($x$2+2$x $80)]$

Which one of the alternatives provides a true statement regarding the given statement or its negation?

a$.$

The negation $$x in Z $[($x$2<0)($x$2+2$x $8<=0)]$ is not true.

b$.$

x $=3$ would be a counterexample to prove that the negation is not true.

c$.$

x $=6$ would be a counterexample to prove that the statement is not true.

d$.$

The negation $$x in Z $[($x$2<0)($x$2+2$x $8<=0)]$ is true.