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Answer :
We start with the equation:
[tex]$$
x + \frac{1}{2} = 4.
$$[/tex]
To isolate [tex]$x$[/tex], we subtract [tex]$\frac{1}{2}$[/tex] from both sides:
[tex]$$
x = 4 - \frac{1}{2}.
$$[/tex]
Now, subtracting gives:
[tex]$$
x = 3\frac{1}{2} \quad \text{or in decimal form} \quad x = 3.5.
$$[/tex]
Thus, the set of equations that correctly represents the situation is:
[tex]$$
\begin{aligned}
4 &= x + \frac{1}{2}, \\
x &= 3\frac{1}{2}.
\end{aligned}
$$[/tex]
This is the correct answer.
[tex]$$
x + \frac{1}{2} = 4.
$$[/tex]
To isolate [tex]$x$[/tex], we subtract [tex]$\frac{1}{2}$[/tex] from both sides:
[tex]$$
x = 4 - \frac{1}{2}.
$$[/tex]
Now, subtracting gives:
[tex]$$
x = 3\frac{1}{2} \quad \text{or in decimal form} \quad x = 3.5.
$$[/tex]
Thus, the set of equations that correctly represents the situation is:
[tex]$$
\begin{aligned}
4 &= x + \frac{1}{2}, \\
x &= 3\frac{1}{2}.
\end{aligned}
$$[/tex]
This is the correct answer.
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