The wall of a bedroom is 12 ft. long. A bed 6.5 ft. in length is already along the wall. Which inequality shows the length ( l) of a dresser that can also be placed against the wall?(1 point)

Question

Responses

l+6.5≤12
l plus 6.5 less-than-or-equal-to 12

l−6.5≤12
l minus 6.5 less-than-or-equal-to 12

l+6.5≥12
l plus 6.5 greater-than-or-equal-to 12

l−6.5≥12

Answer 1

To find the inequality that shows the length (l) of a dresser that can also be placed against the wall, we start with the total length of the wall, which is 12 ft. Since a bed that is 6.5 ft in length is already placed against the wall, we need to ensure that the combined length of the bed and the dresser does not exceed the total length of the wall.

This can be set up as follows:

1. The length of the bed (6.5 ft) plus the length of the dresser (l) should be less than or equal to the length of the wall (12 ft).

This gives us the inequality:

\[ l + 6.5 \leq 12 \]

So, the correct response is:

l + 6.5 ≤ 12