To solve the expression [tex]\(4 - 7\)[/tex], we can rewrite it using the addition of the opposite. Specifically, subtracting 7 is the same as adding negative 7.
So, we rewrite [tex]\(4 - 7\)[/tex] as:
[tex]\[ 4 + (-7) \][/tex]
Now, let's evaluate this expression step by step.
1. Start with the number 4.
2. Add -7 to 4.
When we add -7 to 4, we move 7 units to the left on the number line from 4.
So,
[tex]\[ 4 + (-7) = -3 \][/tex]
This means the correct equivalent expression and answer is:
[tex]\[ 4 + (-7) \][/tex] is an equivalent expression, and the answer is [tex]\(-3\)[/tex].
Therefore, the correct statement is:
[tex]\[ \text{Because } 4 + (-7) \text{ is an equivalent expression, the answer is } -3. \][/tex]
