Rewrite the equation 5/2x−8 −1=9 as two equations joined by “and.”(1 point)

To rewrite the equation \( \frac{5}{2}x - 8 - 1 = 9 \) as two equations joined by "and," we can first simplify the original equation.

Starting with:

\[
\frac{5}{2}x - 8 - 1 = 9
\]

We can simplify it to:

\[
\frac{5}{2}x - 9 = 9
\]

Next, add 9 to both sides:

\[
\frac{5}{2}x = 18
\]

Now, multiply both sides by \(\frac{2}{5}\) to solve for \(x\):

\[
x = \frac{18 \times 2}{5} = \frac{36}{5} = 7.2
\]

Thus, the equation can be rewritten as:

\[
\frac{5}{2}x - 8 - 1 = 9 \text{ and } x \neq \text{undefined value}
\]

Since there's no variable outside of our solutioning, none of the provided 'x ≠ ...' options seem correctly linked to our solution. However, the previous statement isn't effective as it doesn't fit. The key requirement appears to be replacing \(x\) with an opposing 'not equal' clause that could effectively function outside the core evaluation of the condition.

Thus, we can conclude they may not directly correspond to established options but instead suggest it ensures all x are valid outside of that range.

After seeing the options once again, the correct response isn't listed. Still, we can present the right interpretation.

So no valid answer is provided among the choices regarding the exclusions.

The correct way to express it would be more accurately showing where the direct solutions fall. The answer options are incorrectly expressed.

Final consideration: None of the provided options are suitable based on the solution derived (x = 7.2).