Question

x/4 - 2=3. use set notation to make the equation true and write the answer in set notation

Answer 1

To solve the equation \( \frac{x}{4} - 2 = 3 \), we first isolate \( x \).

1. Add 2 to both sides of the equation:
\[
\frac{x}{4} = 3 + 2
\]
\[
\frac{x}{4} = 5
\]

2. Multiply both sides by 4 to solve for \( x \):
\[
x = 5 \times 4
\]
\[
x = 20
\]

Now that we have found the solution \( x = 20 \), we can express this solution in set notation. The solution set containing just the value 20 can be written as:

\[
\{ 20 \}
\]

Thus, the answer in set notation is:
\[
\{ 20 \}
\]