To rewrite the inequality "10 > w + 5 > 6" in compound inequality form with integers, we can break it down into two separate inequalities:
First, we have "10 > w + 5". To solve this inequality, we need to isolate the variable w.
1. Subtract 5 from both sides of the inequality:
10 - 5 > w + 5 - 5
5 > w
So, the first part of the compound inequality is "5 > w".
Next, we have "w + 5 > 6". Again, we need to isolate the variable w.
1. Subtract 5 from both sides of the inequality:
w + 5 - 5 > 6 - 5
w > 1
Therefore, the second part of the compound inequality is "w > 1".
Combining the two inequalities, we have:
5 > w > 1
This means that w is an integer between 1 and 5, exclusive. In other words, w can take any integer value greater than 1 and less than 5.
I hope this explanation clarifies the compound inequality for you. Let me know if you need further assistance! <333