Answer:

C. (3, 6)

Step-by-Step Solution:

To determine which of the ordered pairs satisfies the inequality ≤ -3x + 11, we need to substitute each x-value in the inequality and see if the corresponding y-value makes the inequality true.

For (3, 6), we have:

-3 * 3 + 11 = -7 + 11 = 4

Since 6 is greater than 4, the inequality 6 ≤ -3 * 3 + 11 is true, so (3, 6) satisfies the inequality.

For (4, 5), we have:

-3 * 4 + 11 = -12 + 11 = -1

Since 5 is not less than or equal to -1, the inequality 5 ≤ -3 * 4 + 11 is false, so (4, 5) does not satisfy the inequality.

For (5, 0), we have:

-3 * 5 + 11 = -15 + 11 = -4

Since 0 is not greater than or equal to -4, the inequality 0 ≤ -3 * 5 + 11 is false, so (5, 0) does not satisfy the inequality.

For (5, -4), we have:

-3 * 5 + 11 = -15 + 11 = -4

Since -4 is equal to -4, the inequality -4 ≤ -3 * 5 + 11 is true, so (5, -4) satisfies the inequality.

Therefore, the only ordered pair that satisfies the inequality ≤ -3x + 11 is (3, 6).