Question

Show which of the following points is part of the solution set for the inequality y≤2/5x+1 .(1 point)
Responses

(10,6)

(10,4)

(−10,6)

(10,5.5)

Answer 1

you can only choose one

Answer 2

To determine if a point is part of the solution set for the inequality y ≤ 2/5x + 1, we substitute the x and y coordinates into the inequality and check if it is true.

For option (10, 6):
6 ≤ 2/5(10) + 1
6 ≤ 4 + 1
6 ≤ 5

This statement is not true, so (10, 6) is not part of the solution set.

For option (10, 4):
4 ≤ 2/5(10) + 1
4 ≤ 4 + 1
4 ≤ 5

This statement is true, so (10, 4) is part of the solution set.

For option (-10, 6):
6 ≤ 2/5(-10) + 1
6 ≤ -4 + 1
6 ≤ -3

This statement is not true, so (-10, 6) is not part of the solution set.

For option (10, 5.5):
5.5 ≤ 2/5(10) + 1
5.5 ≤ 4 + 1
5.5 ≤ 5

This statement is true, so (10, 5.5) is part of the solution set.

Based on these calculations, the points that are part of the solution set for the inequality are:

(10, 4)

(10, 5.5)

Answer 3

Apologies for the confusion. Based on the calculations, the point that is part of the solution set for the inequality y ≤ 2/5x + 1 is (10, 4).