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.
Let us assume a real number by n.
n is greater than 24 could be written as
n > 24.
And n is less then or equal to 7 could be written as
n ≤ 7.
Now, we can write compound inequality by putting n in between, we get
24 < n ≤ 7
That is our final compound inequality.