Question

Solve x/13<4/5
.(1 point)
Responses

x<1345
x less than 13 Start Fraction 4 over 5 End Fraction

x<465
x less than Start Fraction 4 over 65 End Fraction

x>525
x greater than Start Fraction 52 over 5 End Fraction

x<1025

Answer 1

To solve the inequality \(\frac{x}{13} < \frac{4}{5}\), we can start by multiplying both sides by 13 to eliminate the fraction (since 13 is positive, the direction of the inequality will remain the same):

\[
x < 13 \cdot \frac{4}{5}
\]

Now calculate \(13 \cdot \frac{4}{5}\):

\[
= \frac{52}{5}
\]

So the inequality becomes:

\[
x < \frac{52}{5}
\]

Now, let's compare this with the provided options:

1. \(x < 1345\) - Incorrect
2. \(x < 13 \frac{4}{5}\) - Incorrectly formatted but actually means \(x < 13\) which isn’t true as we already found \(x < \frac{52}{5}\).
3. \(x < \frac{4}{65}\) - Incorrect
4. \(x > \frac{52}{5}\) - Incorrect
5. \(x < 1025\) - Incorrect

The correct solution is:

\[
x < \frac{52}{5}
\]

This matches none of the given options, so please check the options for any possible errors.