\displaystyle\text{Let}{U}={\left\lbrace{p},{q},{r},{s},{t}\right\rbrace},{D}={\left\lb

BenoguigoliB 2021-08-13 Answered

\(\displaystyle\text{Let}{U}={\left\lbrace{p},{q},{r},{s},{t}\right\rbrace},{D}={\left\lbrace{p},{r},{s},{t}\right\rbrace},{E}={\left\lbrace{q},{s}\right\rbrace},{F}={\left\lbrace{p},{r}\right\rbrace},{\quad\text{and}\quad}{G}={\left\lbrace{s}\right\rbrace}\)
Determine whether the statement is true or false. \(F \subset D\)

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un4t5o4v
Answered 2021-08-14 Author has 14479 answers

Answer:
\(\displaystyle{\left\lbrace{p},{t}\right\rbrace}\subset{\left\lbrace{p},{r},{s},{t}\right\rbrace}\Rightarrow{F}\subset{D}\)
This is because:\(\displaystyle{F}={\left\lbrace{p},{t}\right\rbrace}{\quad\text{and}\quad}{D}{\left\lbrace{p},{r},{s},{t}\right\rbrace}\) as all elements in set F exist in that of set D, F is a subset of D
\(\displaystyle\therefore{T}{r}{u}{e} \)

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