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Select all equations that could be represented by this model:

A. [tex]14 - 18 = -4[/tex]

B. [tex]14 - (-4) = 18[/tex]

C. [tex]14 + 4 = 18[/tex]

D. [tex]18 - 14 = 4[/tex]

E. [tex]14 + 18 = 32[/tex]

Sagot :

GinnyAnswer
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]
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