Use the image to answer the question. The number line shows the solution of which of the following inequalities? (1 point) Responses 9+m≥11 9 plus m is greater than or equal to 11 11+m≥9 m plus 9 greater-than-or-equal-to 11 9+m≤11 9 plus m less-than-or-equal-to 11 11+m≤9

Answer 1

The number line shows the solution to the inequality 9 + m ≥ 11, where 9 plus m is greater than or equal to 11.

Answer 2

Solve an inequality that shows the amount of money ( m ) that a family must bring to an amusement park so they will have at least $21 to spend after paying a $5 parking fee.(1 point) Responses m<26 m less than 26 m≥16 m greater-than-or-equal-to 16 m≥26 m greater-than-or-equal-to 26 m<16 m less than 16

Answer 3

To have at least $21 left to spend after paying a $5 parking fee, the family must bring a total of at least $26. This is because $26 (the money they bring) - $5 (parking fee) = $21 left to spend.

Therefore, the inequality representing this scenario is m ≥ 26, where m is greater-than-or-equal-to 16.

Answer 4

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

Answer 5

Since the bed is already taking up 6.5 ft of space on the 12 ft wall, the length of the dresser that can be placed against the wall without exceeding the wall length is equal to or less than the remaining space on the wall, which is 12 - 6.5 = 5.5 ft.

Therefore, the correct inequality is:
l ≤ 5.5
l, the length of the dresser, is less than or equal to 5.5 ft.

However, among the given options, we can rewrite this inequality as:
l - 6.5 ≤ 12

Therefore, the correct choice is:
l - 6.5 ≤ 12