Question

Show which of the following points is part of the solution set for the inequality y≤25x+1 .(1 point) Responses
(10,5.5)
(−10,6)
(10,6)
(10,4)

Answer 1

To determine if a point is part of the solution set for the inequality y≤25x+1, we need to substitute the x and y values into the inequality and see if the inequality is satisfied.

Let's check each point:

1. (10,5.5):
Substituting x = 10 and y = 5.5 into the inequality, we get:
5.5 ≤ 25(10) + 1
5.5 ≤ 250 + 1
5.5 ≤ 251

Since 5.5 is indeed less than or equal to 251, the point (10,5.5) is part of the solution set.

2. (−10,6):
Substituting x = -10 and y = 6 into the inequality, we get:
6 ≤ 25(-10) + 1
6 ≤ -250 + 1
6 ≤ -249

Since 6 is not less than or equal to -249, the point (−10,6) is not part of the solution set.

3. (10,6):
Substituting x = 10 and y = 6 into the inequality, we get:
6 ≤ 25(10) + 1
6 ≤ 250 + 1
6 ≤ 251

Since 6 is indeed less than or equal to 251, the point (10,6) is part of the solution set.

4. (10,4):
Substituting x = 10 and y = 4 into the inequality, we get:
4 ≤ 25(10) + 1
4 ≤ 250 + 1
4 ≤ 251

Since 4 is indeed less than or equal to 251, the point (10,4) is part of the solution set.

Therefore, the point that is part of the solution set is (10,5.5).