Question

If S = {living creatures}, S = {Spiders}, F = {animals that fly}, T = {animals that taste nice}, express in set notation.
A. No spiders taste nice.
B. All animals that fly taste nice.
C. Some spiders fly.
Express in words:
D. $S\cup F\cup T=S$
E. $T\subset S$

Answer 1

Hint: For solving this question you should know about the intersection and unions of two sets. These problems are solved by the formulas of intersection of more or two sets and union of two or more sets. We will just use the formulas for this and will directly solve this question very easily.

Complete step by step answer:
According to our question it is asked to find the value of intersection - union of two or more sets and we will find that by the help of simple formulas. As we know that if any two or more sets are given to us and asked to find the intersection of any two sets or more than two sets, then we will find the common number or common digits which are available there, unless that is a zero. And if that is asking for the union of two or more than two sets, then we will find all the numbers which are available in all sets. We will not repeat any number and will not leave out any number. It means every number will appear there for only once.
If we see our question, then,
A. No spiders taste nice = $S\not\subset T$
B. All animals that fly taste nice = $F\subset T$
C. Some spiders fly = $S-F\ne \left\{ {} \right\}$
D. $S\cup F\cup T=S\Rightarrow $ Spiders, animals that fly, animals which taste nice make living creatures.
E. $T\subset S\Rightarrow $ Animals which taste nice are spiders.

Note: While solving such questions you have to be careful about the statement which is given to find the term of that. We can’t use contain at the place of intersection or union etc. Not only this, we cannot use any one sign at another place. Each one is denoting a specific work.