Write the following statement are true? Justify your answer. The … - Vidyadip

Question

Write the following statement are true? Justify your answer.
The set of all integers is contained in the set of all rational numbar.

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Answer

The given statement is 'True'.
If $\text{m}\in \text{z},$ then m can be written as $\frac{\text{m}}{1}$ which is of the form $\frac{\text{p}}{\text{q}}$ where p and q are relatively prime integers and $\text{q}\not=0$.
This implies that $\text{m}\in\text{Q}$, set of rational numbers. Thuse, $\text{m}\in\text{z}\Rightarrow\text{m}\in Q$
Hence, $\text{z}\subseteq\text{Q}.$

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