<p>Consider the following sets:<br>The set of natural numbers, \(\mathbb{N}\) ;<br>The set of integers, \(\mathbb{Z}\) ;<br>The set of rational numbers, \(\mathbb{Q}\) ;<br>The set of real numbers, \(\mathbb{R}\) .</p>
<ol class="i-list"><li><div class="list-item-paragraph">Which of the above sets is/are such that&nbsp;\(\left\{ 0,\frac{1}{3} \right\}\) is a subset of it?</div></li><li><div class="list-item-paragraph">Give a description of the set&nbsp;\(\mathbb{R} \setminus \mathbb{Q}\) , i.e., the set that contains all elements that are in \(\mathbb{R}\) but not in \(\mathbb{Q}\).<br>Hence write down a subset of \(\mathbb{R} \setminus \mathbb{Q}\).</div></li></ol>

Consider the following sets:
The set of natural numbers, \(\mathbb{N}\) ;
The set of integers, \(\mathbb{Z}\) ;
The set of rational numbers, \(\mathbb{Q}\) ;
The set of real numbers, \(\mathbb{R}\) .

Which of the above sets is/are such that \(\{0, \frac{1}{3}\}\) is a subset of it?

Which of the above sets is/are such that \(\left\{ 0,\frac{1}{3} \right\}\) is a subset of it?

Give a description of the set \(\mathbb{R} \setminus \mathbb{Q}\) , i.e., the set that contains all elements that are in \(\mathbb{R}\) but not in \(\mathbb{Q}\). Hence write down a subset of \(\mathbb{R} \setminus \mathbb{Q}\).

Give a description of the set \(\mathbb{R} \setminus \mathbb{Q}\) , i.e., the set that contains all elements that are in \(\mathbb{R}\) but not in \(\mathbb{Q}\).
Hence write down a subset of \(\mathbb{R} \setminus \mathbb{Q}\).

IP2U10 HOT Q2

IP2U10 HOT Q2

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