Question

Which of the following points is a solution to the linear inequality y>19x−29 ?(1 point)

Responses

(0,−29)
left parenthesis 0 comma negative Start Fraction 2 over 9 End Fraction right parenthesis

(0,−19)
left parenthesis 0 comma negative Start Fraction 1 over 9 End Fraction right parenthesis

(0,−13)
left parenthesis 0 comma negative Start Fraction 1 over 3 End Fraction right parenthesis

(0,−49)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which point is a solution to the inequality y > 19x - 29, we can substitute the x and y values of each point into the inequality and see which ones satisfy the inequality.

Let's substitute the values of each point into the inequality:

1) For the point (0,-29):
-29 > 19(0) - 29
-29 > -29

This is not true, so (0,-29) is not a solution to the inequality.

2) For the point (0, 2/9):
2/9 > 19(0) - 29
2/9 > -29

This is true, so (0, 2/9) is a solution to the inequality.

3) For the point (0, 1/9):
1/9 > 19(0) - 29
1/9 > -29

This is true, so (0, 1/9) is a solution to the inequality.

4) For the point (0, 1/3):
1/3 > 19(0) - 29
1/3 > -29

This is true, so (0, 1/3) is a solution to the inequality.

5) For the point (0, -49):
-49 > 19(0) - 29
-49 > -29

This is not true, so (0,-49) is not a solution to the inequality.

Therefore, the points (0, 2/9), (0, 1/9), and (0, 1/3) are solutions to the inequality y > 19x - 29.