Question

Solve x/13<45 .(1 point)
Responses

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

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

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

x<4/65

Answer 1

To solve the inequality \( \frac{x}{13} < 45 \), we can start by isolating \( x \).

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

\[
x < 45 \cdot 13
\]

2. Calculate \( 45 \cdot 13 \):

\[
45 \cdot 13 = 585
\]

So, the inequality simplifies to:

\[
x < 585
\]

Now, comparing this with the provided options:

1. \( x > \frac{52}{5} \) (which is approximately \( 10.4 \))
2. \( x < 10 \frac{2}{5} \) (which is \( 10.4 \))
3. \( x < 13 \frac{4}{5} \) (which is \( 13.8 \))
4. \( x < \frac{4}{65} \) (which is approximately \( 0.0615 \))

Since \( x \) can be less than 585, it does not satisfy \( x < 10.4 \) or \( x < 13.8 \) as these are lower limits. The correct answer, however, must emphasize \( x < 585 \) and does not match any of the options given.

Therefore, if we consider only the provided options, none of the answers is correct since \( x < 585 \) does not limit \( x \) specifically to any of the provided fractional values.

Please check the options again or confirm the bounds you provided for reevaluation.

Answer 2

is it a b c d