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

Question

14x−2=7
14
𝑥
−
2
=
7
and x≠2
𝑥
≠
2

Solution:

Answer 1

To solve the equation \( 14x - 2 = 7 \):

1. Start by adding 2 to both sides of the equation:

\[ 14x - 2 + 2 = 7 + 2 \] \[ 14x = 9 \]

2. Next, divide both sides by 14:

\[ x = \frac{9}{14} \]

The problem states \( x \neq 2 \), but since \( \frac{9}{14} \) is not equal to 2, it's valid.

Thus, the solution can be expressed in set notation as:

\[ { \frac{9}{14} } \]

Final answer:

\[ { \frac{9}{14} } \]