Let's go through each of the given equations one by one to see if they hold true:
1. Equation: [tex]\( 14 - 18 = 4 \)[/tex]
Let's check if this equation is correct:
[tex]\[
14 - 18 = -4 \neq 4
\][/tex]
This equation is false.
2. Equation: [tex]\( 14 - (-4) = 18 \)[/tex]
Let's check if this equation is correct:
[tex]\[
14 - (-4) = 14 + 4 = 18
\][/tex]
This equation is true.
3. Equation: [tex]\( 14 + 4 = 18 \)[/tex]
Let's check if this equation is correct:
[tex]\[
14 + 4 = 18
\][/tex]
This equation is true.
4. Equation: [tex]\( 18 - 14 = 4 \)[/tex]
Let's check if this equation is correct:
[tex]\[
18 - 14 = 4
\][/tex]
This equation is true.
5. Equation: [tex]\( 14 + 18 = 32 \)[/tex]
Let's check if this equation is correct:
[tex]\[
14 + 18 = 32
\][/tex]
This equation is true.
Based on this step-by-step verification, the equations that could be represented by this model are:
- [tex]\( 14 - (-4) = 18 \)[/tex]
- [tex]\( 14 + 4 = 18 \)[/tex]
- [tex]\( 18 - 14 = 4 \)[/tex]
- [tex]\( 14 + 18 = 32 \)[/tex]
Therefore, the selected equations are:
[tex]\[ \boxed{14 - (-4) = 18, \; 14 + 4 = 18, \; 18 - 14 = 4, \; 14 + 18 = 32} \][/tex]
