Question

Which ordered pairs are solutions to the inequality 2x+y>−4?

Select each correct answer below.



(5, −12)

(−1, −1)

(−3, 0)

(4, −12)

Answer 1

The ordered pairs are (5,-12), (-1,-1).

Explanation:

Given : Inequality
`2x+y>-4`

To find : Which ordered pairs are solutions to the inequality ?

Solution :

We put the given options the point which satisfied the equation is the solution.

Inequality
`2x+y>-4`

1) (5,-12)

`2(5)+(-12)>-4`

`10-12>-4`

`-2>-4`

It is true.

2) (-1,-1)

`2(-1)+(-1)>-4`

`-2-1>-4`

`-3>-4`

It is true.

3) (-3,0)

`2(-3)+(0)>-4`

`-6+0>-4`

`-6>-4`

It is false.

4) (4,-12)

`2(4)+(-12)>-4`

`8-12>-4`

`-4>-4`

It is false.

Therefore, The ordered pairs are (5,-12), (-1,-1).