IMathAS-libretexts

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Use the set:

$\displaystyle {V}={\lbrace}$ $\displaystyle \sqrt{{{3}}}$ , $\displaystyle -\frac{{11}}{{46}}$ , $\displaystyle {898}$ , $\displaystyle {j}^{{0}}$ , $\displaystyle -{15}-{2}{i}$ , $\displaystyle -{49}$ , $\displaystyle {A}{r}{r}{a}{y}$ , $\displaystyle {i}^{{52}}$ , $\displaystyle \pi$ , $\displaystyle {1.7320508}\ldots$ $\displaystyle {\rbrace}$

to choose the elements which are contained in each intersection. Assume all variables represent non-zero values.

$\displaystyle {V}\cap\mathbb{N}$	$\displaystyle \sqrt{{{3}}}$ $\displaystyle {898}$ $\displaystyle {j}^{{0}}$ $\displaystyle -{15}-{2}{i}$ $\displaystyle \pi$ $\displaystyle {i}^{{52}}$ $\displaystyle -\frac{{11}}{{46}}$ $\displaystyle {A}{r}{r}{a}{y}$ $\displaystyle {1.7320508}\ldots$ $\displaystyle -{49}$ None of these

$\displaystyle {V}\cap\mathbb{Z}$	$\displaystyle \sqrt{{{3}}}$ $\displaystyle -\frac{{11}}{{46}}$ $\displaystyle {898}$ $\displaystyle {j}^{{0}}$ $\displaystyle -{15}-{2}{i}$ $\displaystyle -{49}$ $\displaystyle {A}{r}{r}{a}{y}$ $\displaystyle {i}^{{52}}$ $\displaystyle \pi$ $\displaystyle {1.7320508}\ldots$

$\displaystyle {V}\cap\mathbb{Q}$	$\displaystyle \sqrt{{{3}}}$ $\displaystyle -\frac{{11}}{{46}}$ $\displaystyle {898}$ $\displaystyle {j}^{{0}}$ $\displaystyle -{15}-{2}{i}$ $\displaystyle -{49}$ $\displaystyle {A}{r}{r}{a}{y}$ $\displaystyle {i}^{{52}}$ $\displaystyle \pi$ $\displaystyle {1.7320508}\ldots$

$\displaystyle {V}\cap\mathbb{R}$	$\displaystyle \sqrt{{{3}}}$ $\displaystyle -\frac{{11}}{{46}}$ $\displaystyle {898}$ $\displaystyle {j}^{{0}}$ $\displaystyle -{15}-{2}{i}$ $\displaystyle -{49}$ $\displaystyle {A}{r}{r}{a}{y}$ $\displaystyle {i}^{{52}}$ $\displaystyle \pi$ $\displaystyle {1.7320508}\ldots$

$\displaystyle {V}\cap\mathbb{C}$	$\displaystyle -{49}$ $\displaystyle {j}^{{0}}$ $\displaystyle -{15}-{2}{i}$ $\displaystyle {898}$ $\displaystyle \sqrt{{{3}}}$ $\displaystyle \pi$ $\displaystyle {A}{r}{r}{a}{y}$ $\displaystyle {i}^{{52}}$ $\displaystyle {1.7320508}\ldots$ $\displaystyle -\frac{{11}}{{46}}$ None of these

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