To solve this problem, we need to translate the given conditions into mathematical inequalities involving [tex]\( s \)[/tex] (the number of sheep) and [tex]\( g \)[/tex] (the number of goats).
1. The first condition states: "Morgan moves no more than 26 of her sheep and goats into another field."
- To express this mathematically, the total number of sheep ([tex]\( s \)[/tex]) and goats ([tex]\( g \)[/tex]) that Morgan moves should sum up to 26 or fewer.
- This can be written as:
[tex]\[
s + g \leq 26
\][/tex]
2. The second condition states: "Fewer than 14 of the animals are sheep."
- This means the number of sheep ([tex]\( s \)[/tex]) moved is less than 14.
- This can be written as:
[tex]\[
s < 14
\][/tex]
Therefore, the two inequalities that represent the given situation are:
A. [tex]\( s + g \leq 26 \)[/tex]
D. [tex]\( s < 14 \)[/tex]
So, the correct inequalities are A and D.
