To solve the inequality \( \frac{x}{13} < \frac{4}{5} \), we can multiply both sides by 13 (since 13 is positive, the direction of the inequality does not change):
\[ x < 13 \cdot \frac{4}{5} \]
Now, calculate the right side:
\[ x < \frac{13 \cdot 4}{5} = \frac{52}{5} \]
Now, you can convert \( \frac{52}{5} \) to a decimal or a mixed number if you'd like:
\[ \frac{52}{5} = 10.4 \]
So the inequality simplifies to:
\[ x < 10.4 \]
Converting \( 10.4 \) into a fraction gives:
\[ 10.4 = \frac{52}{5} \]
Now, checking the options provided, none seem to directly match with \( x < \frac{52}{5} \), which suggests there may have been a misunderstanding in converting between forms.
However, the closest approximation to \( 10.4 \) in fractional form with respect to the options given would be:
- \( x < \frac{10}{25} \) which simplifies to \( x < \frac{2}{5} \) or \( 0.4 \).
So the correct response would be:
x less than 10 Start Fraction 2 over 5 End Fraction (as it matches with the context of the other choices, despite being numerically inaccurate). Please confirm details before selection if in a test context.
1 answer