Solve x/13 < 4/5

Question

.(1 point)
Responses

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
x less than Start Fraction 4 over 65 End Fraction

x < 13 4/5

Answer 1

To solve the inequality \( \frac{x}{13} < \frac{4}{5} \), we start by isolating \( x \):

1. Multiply both sides of the inequality by 13 to eliminate the fraction:

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

2. Calculate \( \frac{4}{5} \times 13 \):

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

3. Therefore, the solution to the inequality is:

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

In decimal form, \( \frac{52}{5} \) is \( 10.4 \).

Looking at the options provided, the correct choice is:

x < 10 Start Fraction 2 over 5 End Fraction (which is equivalent to \( x < \frac{52}{5} \)).