<h2><a href="https://leetcode.com/problems/remove-interval/">1272. Remove Interval</a></h2><h3>Medium</h3><hr><div><p>A set of real numbers can be represented as the union of several disjoint intervals, where each interval is in the form <code>[a, b)</code>. A real number <code>x</code> is in the set if one of its intervals <code>[a, b)</code> contains <code>x</code> (i.e. <code>a &lt;= x &lt; b</code>).</p>

<p>You are given a <strong>sorted</strong> list of disjoint intervals <code>intervals</code> representing a set of real numbers as described above, where <code>intervals[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> represents the interval <code>[a<sub>i</sub>, b<sub>i</sub>)</code>. You are also given another interval <code>toBeRemoved</code>.</p>

<p>Return <em>the set of real numbers with the interval </em><code>toBeRemoved</code><em> <strong>removed</strong> from</em><em> </em><code>intervals</code><em>. In other words, return the set of real numbers such that every </em><code>x</code><em> in the set is in </em><code>intervals</code><em> but <strong>not</strong> in </em><code>toBeRemoved</code><em>. Your answer should be a <strong>sorted</strong> list of disjoint intervals as described above.</em></p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2020/12/24/removeintervalex1.png" style="width: 510px; height: 319px;">
<pre><strong>Input:</strong> intervals = [[0,2],[3,4],[5,7]], toBeRemoved = [1,6]
<strong>Output:</strong> [[0,1],[6,7]]
</pre>

<p><strong class="example">Example 2:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2020/12/24/removeintervalex2.png" style="width: 410px; height: 318px;">
<pre><strong>Input:</strong> intervals = [[0,5]], toBeRemoved = [2,3]
<strong>Output:</strong> [[0,2],[3,5]]
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre><strong>Input:</strong> intervals = [[-5,-4],[-3,-2],[1,2],[3,5],[8,9]], toBeRemoved = [-1,4]
<strong>Output:</strong> [[-5,-4],[-3,-2],[4,5],[8,9]]
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= intervals.length &lt;= 10<sup>4</sup></code></li>
	<li><code>-10<sup>9</sup> &lt;= a<sub>i</sub> &lt; b<sub>i</sub> &lt;= 10<sup>9</sup></code></li>
</ul>
</div>