Question

Which of the following is a solution to the inequality y < 2/3x?

1) (0, 3)
2) (-3, 1)
3) (3, 5)
4) (1, 2)

Answer 1

The solution to the inequality y < 2/3x is option 3) (3, 5).

Step-by-step explanation:

To determine which of the given options is a solution to the inequality y < 2/3x, we need to substitute the values of x and y into the inequality and check if it holds true.

Option 1: (0, 3)
3 < 2/3*0
3 < 0
False

Option 2: (-3, 1)
1 < 2/3*(-3)
1 < -2
False

Option 3: (3, 5)
5 < 2/3*3
5 < 2
True

Option 4: (1, 2)
2 < 2/3*1
2 < 2/3
False

Therefore, the only solution to the inequality is option 3) (3, 5).