Question
Which ordered pair is in the solution set of `y<-\frac{3}{5}x+4`?
Answers
GPT 3.5
To determine which ordered pair is in the solution set of the inequality y < -3/5x + 4, we need to plug in the x and y values of each ordered pair into the inequality and see if the inequality is satisfied.
For example, let's consider the ordered pair (2, 2):
y < -3/5x + 4
2 < -3/5(2) + 4
2 < -6/5 + 4
2 < -6/5 + 20/5
2 < 14/5
This inequality is not satisfied, so (2, 2) is not in the solution set.
Let's try another ordered pair: (5, 1):
y < -3/5x + 4
1 < -3/5(5) + 4
1 < -15/5 + 4
1 < -3 + 4
1 < 1
This inequality is satisfied, so (5, 1) is in the solution set.
Therefore, the ordered pair (5, 1) is in the solution set of y < -3/5x + 4.
For example, let's consider the ordered pair (2, 2):
y < -3/5x + 4
2 < -3/5(2) + 4
2 < -6/5 + 4
2 < -6/5 + 20/5
2 < 14/5
This inequality is not satisfied, so (2, 2) is not in the solution set.
Let's try another ordered pair: (5, 1):
y < -3/5x + 4
1 < -3/5(5) + 4
1 < -15/5 + 4
1 < -3 + 4
1 < 1
This inequality is satisfied, so (5, 1) is in the solution set.
Therefore, the ordered pair (5, 1) is in the solution set of y < -3/5x + 4.