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?
a. l−6.5≥12
b. l+6.5≤12
c. l+6.5≥12
d. l−6.5≤12
We know that the wall is 12 ft. long and the bed is 6.5 ft. long. This means there is (12 - 6.5) = 5.5 ft. of space left on the wall for the dresser.
Since we want to find the maximum length of the dresser that can fit, we need to add the 5.5 ft. of space to the length of the bed:
l + 6.5 ≤ 12
Subtracting 6.5 from both sides, we get:
l ≤ 5.5
So the answer is:
d. l−6.5≤12
To find the correct inequality, we need to consider the available space on the wall after placing the bed.
The bed takes up 6.5 ft. on the wall. So, the remaining space on the wall is given by 12 ft. - 6.5 ft.
Therefore, the remaining space on the wall is 5.5 ft.
Since the length of the dresser cannot exceed the remaining space on the wall, the correct inequality would be:
l ≤ 5.5 ft.
Simplifying this inequality, we get:
l - 6.5 ≤ 12
Therefore, the correct inequality is:
d. l - 6.5 ≤ 12