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

Sagot :

GinnyAnsweridn
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.
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