Solve x/13<4/5

Question

.(1 point)

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

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

x<1025
x less than 10 Start Fraction 2 over 5 End Fraction

x<465

Answer 1

To solve the inequality \( \frac{x}{13} < \frac{4}{5} \), we will multiply both sides of the inequality by 13:

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

Calculating the right side:

\[ 13 \cdot \frac{4}{5} = \frac{52}{5} \]

Thus, we have:

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

Now, calculating \( \frac{52}{5} \):

\[ \frac{52}{5} = 10.4 \]

So, the final solution is:

\[ x < 10.4 \]

Given your options, \( x < 10 \frac{2}{5} \) is equivalent to \( x < 10.4 \).

Therefore, the correct answer is:

x < 10 Start Fraction 2 over 5 End Fraction