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Let X and Y be the following sets: X = {5.6, 10, 12, 15, 18} Y = {6.10, 12, 15} What is the set X U Y?

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Answer:

X U Y = {5.6, 10, 12, 15, 18}

Step-by-step explanation:

Given the sets X and Y defined below:


\begin{gathered} X=\mleft\{5.6,10,12,15,18\mright\} \\ Y=\mleft\{6.10,12,15\mright\} \end{gathered}

The set X U Y is the union (joining) of the two sets without repeating any element.

Therefore:


X\cup Y=\mleft\{5.6,10,12,15,18\mright\}

Observe that all the elements of Y are in X.


\begin{gathered} Y\subset X \\ \implies X\cup Y=X \end{gathered}

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