Question

Which ordered pair is in the solution set of `y<-\frac{3}{5}x+4`?

(1,3)
(-1,5)
(5,1)
(-3, 10)

Answer 1

Let's plug each of these ordered pairs into the equation `y<-\frac{3}{5}x+4` and see if they are in the solution set.

1. Using (1,3):
y = -\frac{3}{5}(1) + 4
y = -\frac{3}{5} + 4
y = \frac{17}{5}
Since 3 is not less than \frac{17}{5}, this ordered pair is not in the solution set.

2. Using (-1,5):
y = -\frac{3}{5}(-1) + 4
y = \frac{3}{5} + 4
y = \frac{23}{5}
Since 5 is not less than \frac{23}{5}, this ordered pair is not in the solution set.

3. Using (5,1):
y = -\frac{3}{5}(5) + 4
y = -3 + 4
y = 1
Since 1 is equal to 1, this ordered pair is in the solution set.

4. Using (-3, 10):
y = -\frac{3}{5}(-3) + 4
y = \frac{9}{5} + 4
y = \frac{29}{5}
Since 10 is not less than \frac{29}{5}, this ordered pair is not in the solution set.

Therefore, the ordered pair that is in the solution set of `y<-\frac{3}{5}x+4` is (5,1).