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<4/65

Answer 1

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

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

Calculating the right side:

\[ \frac{4}{5} \cdot 13 = \frac{4 \cdot 13}{5} = \frac{52}{5} = 10.4 \]

So, the solution to the inequality is:

\[ x < 10.4 \]

In fractional form, this is:

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

Therefore, the correct option is:

x < \(\frac{52}{5}\) (x less than 10.4).