Question

To which graph does the point (8, −2) belong?

A. y ≤ −x + 4
B. y ≤ x − 11
C. y ≤ −2x − 3
D. y ≤ 2x + 1

Answer 1

D because it is 2<17

Answer 2

the answer is the option D

`y\leq 2x+1`

Explanation:

we know that

If the point belong to the graph of the inequality

then

the point must be satisfy the inequality

we have the point
`(8,-2)`

Substitute the value of x and y in each inequality

case A)
`y\leq -x+4`

`-2\leq -8+4`

`-2\leq -4` ----->is not true

case B)
`y\leq x-11`

`-2\leq 8-11`

`-2\leq -3` ----->is not true

case C)
`y\leq -2x-3`

`-2\leq -2*8-3`

`-2\leq -19` ----->is not true

case D)
`y\leq 2x+1`

`-2\leq 2*8+1`

`-2\leq 17` ----->is true

therefore

the point
`(8,-2)` belong to the solution of the graph of the inequality
`y\leq 2x+1`