We are given phrase " all real numbers that are greater than 24 and less than or equal to 7".
We need to write a compound inequality for this phrase.
Let us break it into smaller parts first.
<em>Let us assume a real number by n.</em>
n is greater than 24 could be written as
<h3>n > 24.</h3>
And n is less then or equal to 7 could be written as
<h3>n ≤ 7.</h3>
Now, we can write compound inequality by putting n in between, we get
<h2> 24 < n ≤ 7 </h2><h2>That is our final compound inequality.</h2>