Question

Which ordered pair is in the solution set of y<-3/5x+4? (1,3) (-1,5) (5, 1) (-3, 10)

Answer 1

To determine which ordered pair is in the solution set of y < -3/5x + 4, we can substitute the x and y values of each ordered pair into the inequality and see if the inequality holds true.

1. For ordered pair (1,3):
y < -3/5x + 4
3 < -3/5(1) + 4
3 < -3/5 + 4
3 < -3/5 + 20/5
3 < 17/5
This inequality is FALSE for (1,3).

2. For ordered pair (-1,5):
y < -3/5x + 4
5 < -3/5(-1) + 4
5 < 3/5 + 4
5 < 3/5 + 20/5
5 < 23/5
This inequality is TRUE for (-1,5).

3. For ordered pair (5,1):
y < -3/5x + 4
1 < -3/5(5) + 4
1 < -3 + 4
1 < -3 + 20/5
1 < 17/5
This inequality is FALSE for (5,1).

4. For ordered pair (-3,10):
y < -3/5x + 4
10 < -3/5(-3) + 4
10 < 9/5 + 4
10 < 9/5 + 20/5
10 < 29/5
This inequality is TRUE for (-3,10).

Therefore, the ordered pairs that are in the solution set of y < -3/5x + 4 are (-1,5) and (-3,10).