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

Question

) of a dresser that can also be placed against the wall?(1 point)
Responses

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

l−6.5≥12
l minus 6.5 greater-than-or-equal-to 12

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

l+6.5≤12

Answer 1

To find the appropriate inequality for the length of the dresser \( l \) that can be placed against the wall, we start with the total available length of the wall, which is 12 ft.

The bed occupies 6.5 ft of that space. Therefore, the remaining space for the dresser, which also needs to be placed along the wall, can be expressed with the inequality:

\[ l + 6.5 \leq 12 \]

This inequality states that the combined length of the dresser and the bed must be less than or equal to the total length of the wall.

To summarize:

• The correct response is \( l + 6.5 \leq 12 \).