1.1 Set theory

Which of the following sets is equivalent to [math][-5,-2)\cup[3,\infty)[/math]?

Which of the following numbers is an element of the set [math]\{x|x=2n+1, n[/math] is a positive integer[math]\}[/math]?

Which of the following representations is NOT equivalent to all nonzero real numbers?

If [math]S=\{n||n|\leq10, n\in\mathbb{Z}\}[/math], what is [math]n(S)[/math]?

If [math]S=\{n|n\in\mathbb{N}, \displaystyle{\frac{200}{n}}\in\mathbb{N}\}[/math], what is [math]n(S)[/math]?

If [math]S=\{n|\sqrt{5-n}>0\}[/math], what is [math]n(S)[/math]?

Which statement(s) is/are true?

If [math]S[/math] is a set that collects all negative even numbers greater than [math]-9[/math], which of the following sets is [math]S[/math]?

If [math]S[/math] is a set that collects all simplest fraction with denominator 12 between 0 and 1, what is [math]n(S)[/math]?

If [math]S=\{x|\sqrt{x}\in\mathbb{N}, x\in\mathbb{N}\}[/math], which of the following statements is true?

If the solution to the inequality [math]-x+2\geq4x+5[/math] can be represented as [math](a,b][/math] where [math]a[/math] and [math]b[/math] are constants, what is the value of [math]b[/math]?

If the solution to the inequality [math]|x-3|<5[/math] can be represented as [math](a,b)[/math] where [math]a[/math] and [math]b[/math] are constants, what is the value of [math]a[/math]?

Consider a set [math]S=\{-3.\overline{14}, 0, \sqrt{-3^2}, \sqrt{(-3)^2}, -\sqrt{3^2}, \displaystyle{\frac{1}{\sqrt{2}}}\}[/math]. If there are [math]a[/math] natural numbers, [math]b[/math] integers, [math]c[/math] rational numbers, [math]d[/math] irrational numbers, and [math]e[/math] real numbers, what is the value of [math]a+b+c+d+e[/math]?