Morgan moves no more than 26 of her sheep and goats into another field. Fewer than 14 of the animals are sheep.

Let [tex]s[/tex] represent the number of sheep and [tex]g[/tex] represent the number of goats. Which two inequalities represent this situation?

A. [tex]g \ \textgreater \ 14[/tex]
B. [tex]s - g \leq 26[/tex]
C. [tex]s \ \textless \ 14[/tex]
D. [tex]s + g \leq 26[/tex]



Answer :

To solve this problem, we need to represent the given constraints using two inequalities:

1. The first constraint tells us that the number of sheep, [tex]\( s \)[/tex], is fewer than 14. This can be written as:
[tex]\[ s < 14 \][/tex]

2. The second constraint tells us that the total number of sheep and goats moved is no more than 26. This can be written as:
[tex]\[ s + g \leq 26 \][/tex]

With these two inequalities, we can identify the correct choices:

- Choice [tex]\( C \)[/tex] matches [tex]\( s < 14 \)[/tex].
- Choice [tex]\( D \)[/tex] matches [tex]\( s + g \leq 26 \)[/tex].

Therefore, the two inequalities that represent this situation are:

[tex]\[ \boxed{(C, D)} \][/tex]