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 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

Answer 1

To determine the inequality that represents the situation, we start with the total length of the wall, which is 12 feet. The bed takes up 6.5 feet of that space.

We want to find the length of the dresser (l) that can fit alongside the bed without exceeding the total wall length. Thus, the combined length of the bed and the dresser must be less than or equal to the wall length:

\[ l + 6.5 \leq 12 \]

This inequality states that the length of the dresser plus the length of the bed should be less than or equal to 12 feet.

So, the correct answer is:

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