Solve Inequalities By Adding or Subtracting Quick Check

Question

4 of 54 of 5 Items

Question
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)
Responses

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

l+6.5≤12
l plus 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 determine the appropriate inequality, let's analyze the situation:

1. The wall length is 12 ft.
2. A bed that is 6.5 ft long is already placed against the wall.
3. We need to find the length of the dresser (l) that can also be placed against the wall without exceeding the total wall length.

Since the bed is already taking up 6.5 ft of the 12 ft wall, we can represent this scenario with the inequality:

\[ l + 6.5 \leq 12 \]

This reflects that the combined length of the bed and the dresser must be less than or equal to the total wall length of 12 ft.

So the correct response is:

l + 6.5 ≤ 12