### Set composition

The `Set` object provides some methods that allow you to compose sets like you would with mathematical operations. These methods include:

<table>
  <thead>
    <tr>
      <th scope="col">Method</th>
      <th scope="col">Return type</th>
      <th scope="col">Mathematical equivalent</th>
      <th scope="col">Venn diagram</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td>{{jsxref("Set/difference", "A.difference(B)")}}</td>
      <td><code>Set</code></td>
      <td><math display="inline"><semantics><mrow><mi>A</mi><mo>∖</mo><mi>B</mi></mrow><annotation encoding="TeX">A\setminus B</annotation></semantics></math></td>
      <td style="margin:0;padding:0"><img src="difference/diagram.svg" alt="A Venn diagram where two circles overlap. The difference of A and B is the part of A that is not overlapping B." style="margin:0;border:0;border-radius:0" width="200" /></td>
    </tr>
    <tr>
      <td>{{jsxref("Set/intersection", "A.intersection(B)")}}</td>
      <td><code>Set</code></td>
      <td><math display="inline"><semantics><mrow><mi>A</mi><mo>∩</mo><mi>B</mi></mrow><annotation encoding="TeX">A\cap B</annotation></semantics></math></td>
      <td style="margin:0;padding:0"><img src="intersection/diagram.svg" alt="A Venn diagram where two circles overlap. The intersection of A and B is the part where they overlap." style="margin:0;border:0;border-radius:0" width="200" /></td>
    </tr>
    <tr>
      <td>{{jsxref("Set/symmetricDifference", "A.symmetricDifference(B)")}}</td>
      <td><code>Set</code></td>
      <td><math display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>A</mi><mo>∖</mo><mi>B</mi><mo stretchy="false">)</mo><mo>∪</mo><mo stretchy="false">(</mo><mi>B</mi><mo>∖</mo><mi>A</mi><mo stretchy="false">)</mo></mrow><annotation encoding="TeX">(A\setminus B)\cup(B\setminus A)</annotation></semantics></math></td>
      <td style="margin:0;padding:0"><img src="symmetricDifference/diagram.svg" alt="A Venn diagram where two circles overlap. The symmetric difference of A and B is the region contained by either circle but not both." style="margin:0;border:0;border-radius:0" width="200" /></td>
    </tr>
    <tr>
      <td>{{jsxref("Set/union", "A.union(B)")}}</td>
      <td><code>Set</code></td>
      <td><math display="inline"><semantics><mrow><mi>A</mi><mo>∪</mo><mi>B</mi></mrow><annotation encoding="TeX">A\cup B</annotation></semantics></math></td>
      <td style="margin:0;padding:0"><img src="union/diagram.svg" alt="A Venn diagram where two circles overlap. The symmetric difference of A and B is the region contained by either or both circles." style="margin:0;border:0;border-radius:0" width="200" /></td>
    </tr>
    <tr>
      <td>{{jsxref("Set/isDisjointFrom", "A.isDisjointFrom(B)")}}</td>
      <td><code>Boolean</code></td>
      <td><math display="inline"><semantics><mrow><mi>A</mi><mo>∩</mo><mi>B</mi><mo>=</mo><mi>∅</mi></mrow><annotation encoding="TeX">A\cap B = \empty</annotation></semantics></math></td>
      <td style="margin:0;padding:0"><img src="isDisjointFrom/diagram.svg" alt="A Venn diagram with two circles. A and B are disjoint because the circles have no region of overlap." style="margin:0;border:0;border-radius:0" width="200" /></td>
    </tr>
    <tr>
      <td>{{jsxref("Set/isSubsetOf", "A.isSubsetOf(B)")}}</td>
      <td><code>Boolean</code></td>
      <td><math display="inline"><semantics><mrow><mi>A</mi><mo>⊆</mo><mi>B</mi></mrow><annotation encoding="TeX">A\subseteq B</annotation></semantics></math></td>
      <td style="margin:0;padding:0"><img src="isSubsetOf/diagram.svg" alt="A Venn diragram with two circles. A is a subset of B because A is completely contained in B." style="margin:0;border:0;border-radius:0" width="200" /></td>
    </tr>
    <tr>
      <td>{{jsxref("Set/isSupersetOf", "A.isSupersetOf(B)")}}</td>
      <td><code>Boolean</code></td>
      <td><math display="inline"><semantics><mrow><mi>A</mi><mo>⊇</mo><mi>B</mi></mrow><annotation encoding="TeX">A\supseteq B</annotation></semantics></math></td>
      <td style="margin:0;padding:0"><img src="isSupersetOf/diagram.svg" alt="A Venn diagram with two circles. A is a superset of B because B is completely contained in A." style="margin:0;border:0;border-radius:0" width="200" /></td>
    </tr>
  </tbody>
</table>

To make them more generalizable, these methods don't just accept `Set` objects, but anything that's [set-like](#set-like_objects).