Solve the equation below and write your answer using set notation. (1 point)

Question

12x−4=2
12
𝑥
−
4
=
2
and x≠4
𝑥
≠
4

Solution:

Answer 1

To solve the equation:

\[ 12x - 4 = 2 \]

First, add 4 to both sides:

\[ 12x = 6 \]

Now, divide both sides by 12:

\[ x = \frac{6}{12} \]

Simplifying the fraction gives:

\[ x = \frac{1}{2} \]

Since we have the constraint \(x \neq 4\), and \(\frac{1}{2}\) does not violate this condition, the solution is valid.

In set notation, the solution can be expressed as:

\[ { \frac{1}{2} } \]