Solve x/13<4/5

Question

.(1 point)
Responses

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

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

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

x<10 2/5

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.

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

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

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

Thus, we have:

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

Therefore, the correct response is:

x < \frac{52}{5}
(x less than Start Fraction 52 over 5 End Fraction)