Wich ordered pair is a solution to the followimg inequality? y\leq (2)/(5)x-2 (5,0) (0,5) (-2,5) (-5,2)

Question

Wich ordered pair is a solution to the followimg inequality?


`y\leq (2)/(5)x-2`

(5,0)
(0,5)
(-2,5)
(-5,2)

Answer 1

Option A: (5,0)

Explanation:

Given

`y \leq (2)/(5)x-2`

Required

Select an ordered pair

Option A: (5,0)

This means

`x = 5`
`y = 0`

Substitute these values in
`y \leq (2)/(5)x-2`

`0 \leq (2)/(5) * 5 - 2`

`0 \leq 2 - 2`

`0 \leq 0`

This is a true statement.

Option B: (0,5)

This means

`x = 0`
`y = 5`

Substitute these values in
`y \leq (2)/(5)x-2`

`5 \leq (2)/(5)* 0 -2`

`5 \leq 0 -2`

`5 \leq -2`

This is a false statement.

Option C: (-2,5)

This means

`x=-2`
`y = 5`

Substitute these values in
`y \leq (2)/(5)x-2`

`5 \leq (2)/(5)* -2 -2`

`5 \leq (-4)/(5) -2`

`5 \leq (-4-10)/(5)`

`5 \leq (-14)/(5)`

`5 \leq -2.8`

This is a false statement.

Option D: (-5,2)

This means

`x=-5`
`y = 2`

Substitute these values in
`y \leq (2)/(5)x-2`

`2 \leq (2)/(5)* -5 -2`

`2 \leq -2 -2`

`2 \leq -4`

This is a false statement.

Only option A represents a true statement,

Hence, option A is a solution to the inequality