Question

Which ordered pairs are solutions to the inequality x+3y≥−8?

Select each correct answer.

Answer 1

x+3.y≥−8

Let x ≥ -5 And y ≥ -1 , Then:

(-5) + 3(-1) ≥ -8 . The solution is (-5 , -1)

Answer 2

A.
`(-1,-2)`

D.
`(-6,0)`

E.
`(-5,-1)`

Explanation:

We have been given an inequality
`x+3y\geq -8`. We are asked to find the ordered pairs that are solution to the given inequality.

Let us check each ordered pair by substituting in the given inequality.

A.
`(-1,-2)`

`-1+3(-2)\geq -8`

`-1-6\geq -8`

`-7\geq -8`

Since the given inequality holds true, therefore, ordered pair
`(-1,-2)` is a solution for the inequality.

B.
`(-16,2)`

`-16+3(2)\geq -8`

`-16+6\geq -8`

`-10\geq -8`

Since the given inequality is not true, therefore, ordered pair
`(-16,2)` is not solution for the inequality.

C.
`(0,-3)`

`0+3(-3)\geq -8`

`0-9\geq -8`

`-9\geq -8`

Since the given inequality is not true, therefore, ordered pair
`(0,-3)` is not solution for the inequality.

D.
`(-6,0)`

`-6+3(0)\geq -8`

`-6+0\geq -8`

`-6\geq -8`

Since the given inequality holds true, therefore, ordered pair
`(-6,0)` is a solution for the inequality.

E.
`(-5,-1)`

`-5+3(-1)\geq -8`

`-5-3\geq -8`

`-8\geq -8`

Since the given inequality holds true, therefore, ordered pair
`(-5,-1)` is a solution for the inequality.