Question

Help me pls pls pls pls ​

Answer 1

The valid point is (5/2, 5)

Explanation:

In order to check which ones are valid we will apply all of them to the expression.

(5,15):

`(2)/(5)x - (1)/(5)y \geq 0\\\\(2)/(5)5 - (1)/(5)15 \geq 0\\\\-1 \geq 0`

False.

(1/2, 5):

`(2)/(5)x - (1)/(5)y \geq 0\\\\(2)/(5)(1)/(2) - (1)/(5)5 \geq 0\\\\-(4)/(5) \geq 0`

False.

(5/2, 5):

`(2)/(5)x - (1)/(5)y \geq 0\\\\(2)/(5)(5)/(2) - (1)/(5)5 \geq 0\\\\0 \geq 0`

True.

(2,5):

`(2)/(5)x - (1)/(5)y \geq 0\\\\(2)/(5)2 - (1)/(5)5 \geq 0\\\\-(1)/(5) \geq 0`

False

(-1,0):

`(2)/(5)x - (1)/(5)y \geq 0\\\\(2)/(5)(-1) - (1)/(5)0 \geq 0\\\\-(2)/(5) \geq 0`

False.